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Finding the Fourth Proportional to 9,560.10, 13,203.98 and 6,368.14

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Solution

The fourth proportional to 9,560.10, 13,203.98 and 6,368.14 is: 8,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.10 : 13,203.98 = 6,368.14 : x
  2. Step 2: Convert to fraction form
    9,560.10/13,203.98 = 6,368.14/x
  3. Step 3: Cross multiply
    9,560.10x = 13,203.98 × 6,368.14
  4. Step 4: Simplify right side
    9,560.10x = 84,084,728.35
  5. Step 5: Solve for x
    x = 84,084,728.35/9,560.10
  6. Step 6: Final answer
    x = 8,795.38

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Half scale
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Double scale
Find fourth proportional to 9,561.10, 13,205.36 and 6,369.14
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.