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Finding the Fourth Proportional to 14,542.71, 21,770.97 and 8,978.16

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Solution

The fourth proportional to 14,542.71, 21,770.97 and 8,978.16 is: 13,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.71 : 21,770.97 = 8,978.16 : x
  2. Step 2: Convert to fraction form
    14,542.71/21,770.97 = 8,978.16/x
  3. Step 3: Cross multiply
    14,542.71x = 21,770.97 × 8,978.16
  4. Step 4: Simplify right side
    14,542.71x = 195,463,252.02
  5. Step 5: Solve for x
    x = 195,463,252.02/14,542.71
  6. Step 6: Final answer
    x = 13,440.63

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1.5x scale

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.