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Finding the Fourth Proportional to 14,654.50, 20,223.21 and 8,030.50

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Solution

The fourth proportional to 14,654.50, 20,223.21 and 8,030.50 is: 11,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.50 : 20,223.21 = 8,030.50 : x
  2. Step 2: Convert to fraction form
    14,654.50/20,223.21 = 8,030.50/x
  3. Step 3: Cross multiply
    14,654.50x = 20,223.21 × 8,030.50
  4. Step 4: Simplify right side
    14,654.50x = 162,402,487.91
  5. Step 5: Solve for x
    x = 162,402,487.91/14,654.50
  6. Step 6: Final answer
    x = 11,082.09

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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.