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Finding the Fourth Proportional to 9,781, 13,497.80 and 5,589.24

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Solution

The fourth proportional to 9,781, 13,497.80 and 5,589.24 is: 7,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781 : 13,497.80 = 5,589.24 : x
  2. Step 2: Convert to fraction form
    9,781/13,497.80 = 5,589.24/x
  3. Step 3: Cross multiply
    9,781x = 13,497.80 × 5,589.24
  4. Step 4: Simplify right side
    9,781x = 75,442,443.67
  5. Step 5: Solve for x
    x = 75,442,443.67/9,781
  6. Step 6: Final answer
    x = 7,713.16

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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.