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Finding the Fourth Proportional to 20,502.90, 30,642.02 and 14,967.90

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Solution

The fourth proportional to 20,502.90, 30,642.02 and 14,967.90 is: 22,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.90 : 30,642.02 = 14,967.90 : x
  2. Step 2: Convert to fraction form
    20,502.90/30,642.02 = 14,967.90/x
  3. Step 3: Cross multiply
    20,502.90x = 30,642.02 × 14,967.90
  4. Step 4: Simplify right side
    20,502.90x = 458,646,731.23
  5. Step 5: Solve for x
    x = 458,646,731.23/20,502.90
  6. Step 6: Final answer
    x = 22,369.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.