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Finding the Fourth Proportional to 14,531.70, 21,802.85 and 8,978.68

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Solution

The fourth proportional to 14,531.70, 21,802.85 and 8,978.68 is: 13,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.70 : 21,802.85 = 8,978.68 : x
  2. Step 2: Convert to fraction form
    14,531.70/21,802.85 = 8,978.68/x
  3. Step 3: Cross multiply
    14,531.70x = 21,802.85 × 8,978.68
  4. Step 4: Simplify right side
    14,531.70x = 195,760,813.24
  5. Step 5: Solve for x
    x = 195,760,813.24/14,531.70
  6. Step 6: Final answer
    x = 13,471.29

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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.