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Finding the Fourth Proportional to 14,000.10, 21,000.15 and 12,469.20

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Solution

The fourth proportional to 14,000.10, 21,000.15 and 12,469.20 is: 18,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.10 : 21,000.15 = 12,469.20 : x
  2. Step 2: Convert to fraction form
    14,000.10/21,000.15 = 12,469.20/x
  3. Step 3: Cross multiply
    14,000.10x = 21,000.15 × 12,469.20
  4. Step 4: Simplify right side
    14,000.10x = 261,855,070.38
  5. Step 5: Solve for x
    x = 261,855,070.38/14,000.10
  6. Step 6: Final answer
    x = 18,703.80

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Similar ratio
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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.