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Finding the Fourth Proportional to 10,564.50, 14,565.75 and 6,781

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Solution

The fourth proportional to 10,564.50, 14,565.75 and 6,781 is: 9,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.50 : 14,565.75 = 6,781 : x
  2. Step 2: Convert to fraction form
    10,564.50/14,565.75 = 6,781/x
  3. Step 3: Cross multiply
    10,564.50x = 14,565.75 × 6,781
  4. Step 4: Simplify right side
    10,564.50x = 98,770,350.75
  5. Step 5: Solve for x
    x = 98,770,350.75/10,564.50
  6. Step 6: Final answer
    x = 9,349.27

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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.