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Finding the Fourth Proportional to 9,699.84, 13,375.44 and 6,345.54

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Solution

The fourth proportional to 9,699.84, 13,375.44 and 6,345.54 is: 8,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.84 : 13,375.44 = 6,345.54 : x
  2. Step 2: Convert to fraction form
    9,699.84/13,375.44 = 6,345.54/x
  3. Step 3: Cross multiply
    9,699.84x = 13,375.44 × 6,345.54
  4. Step 4: Simplify right side
    9,699.84x = 84,874,389.54
  5. Step 5: Solve for x
    x = 84,874,389.54/9,699.84
  6. Step 6: Final answer
    x = 8,750.08

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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.