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Finding the Fourth Proportional to 9,620.34, 13,282.08 and 7,377.90

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Solution

The fourth proportional to 9,620.34, 13,282.08 and 7,377.90 is: 10,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.34 : 13,282.08 = 7,377.90 : x
  2. Step 2: Convert to fraction form
    9,620.34/13,282.08 = 7,377.90/x
  3. Step 3: Cross multiply
    9,620.34x = 13,282.08 × 7,377.90
  4. Step 4: Simplify right side
    9,620.34x = 97,993,858.03
  5. Step 5: Solve for x
    x = 97,993,858.03/9,620.34
  6. Step 6: Final answer
    x = 10,186.11

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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.