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Finding the Fourth Proportional to 9,781.65, 14,661.09 and 4,854.42

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Solution

The fourth proportional to 9,781.65, 14,661.09 and 4,854.42 is: 7,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.65 : 14,661.09 = 4,854.42 : x
  2. Step 2: Convert to fraction form
    9,781.65/14,661.09 = 4,854.42/x
  3. Step 3: Cross multiply
    9,781.65x = 14,661.09 × 4,854.42
  4. Step 4: Simplify right side
    9,781.65x = 71,171,088.52
  5. Step 5: Solve for x
    x = 71,171,088.52/9,781.65
  6. Step 6: Final answer
    x = 7,275.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.