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Finding the Fourth Proportional to 9,497, 13,105.86 and 5,306.12

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Solution

The fourth proportional to 9,497, 13,105.86 and 5,306.12 is: 7,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497 : 13,105.86 = 5,306.12 : x
  2. Step 2: Convert to fraction form
    9,497/13,105.86 = 5,306.12/x
  3. Step 3: Cross multiply
    9,497x = 13,105.86 × 5,306.12
  4. Step 4: Simplify right side
    9,497x = 69,541,265.86
  5. Step 5: Solve for x
    x = 69,541,265.86/9,497
  6. Step 6: Final answer
    x = 7,322.45

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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.