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Finding the Fourth Proportional to 9,700.29, 13,372.29 and 7,711.65

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Solution

The fourth proportional to 9,700.29, 13,372.29 and 7,711.65 is: 10,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.29 : 13,372.29 = 7,711.65 : x
  2. Step 2: Convert to fraction form
    9,700.29/13,372.29 = 7,711.65/x
  3. Step 3: Cross multiply
    9,700.29x = 13,372.29 × 7,711.65
  4. Step 4: Simplify right side
    9,700.29x = 103,122,420.18
  5. Step 5: Solve for x
    x = 103,122,420.18/9,700.29
  6. Step 6: Final answer
    x = 10,630.86

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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.