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Finding the Fourth Proportional to 9,691.65, 13,374.49 and 5,661.24

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Solution

The fourth proportional to 9,691.65, 13,374.49 and 5,661.24 is: 7,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.65 : 13,374.49 = 5,661.24 : x
  2. Step 2: Convert to fraction form
    9,691.65/13,374.49 = 5,661.24/x
  3. Step 3: Cross multiply
    9,691.65x = 13,374.49 × 5,661.24
  4. Step 4: Simplify right side
    9,691.65x = 75,716,235.23
  5. Step 5: Solve for x
    x = 75,716,235.23/9,691.65
  6. Step 6: Final answer
    x = 7,812.52

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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.