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Finding the Fourth Proportional to 9,665.25, 13,344.48 and 7,423.12

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Solution

The fourth proportional to 9,665.25, 13,344.48 and 7,423.12 is: 10,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.25 : 13,344.48 = 7,423.12 : x
  2. Step 2: Convert to fraction form
    9,665.25/13,344.48 = 7,423.12/x
  3. Step 3: Cross multiply
    9,665.25x = 13,344.48 × 7,423.12
  4. Step 4: Simplify right side
    9,665.25x = 99,057,709.71
  5. Step 5: Solve for x
    x = 99,057,709.71/9,665.25
  6. Step 6: Final answer
    x = 10,248.85

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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.