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Finding the Fourth Proportional to 14,000.10, 20,981.61 and 10,285.08

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Solution

The fourth proportional to 14,000.10, 20,981.61 and 10,285.08 is: 15,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.10 : 20,981.61 = 10,285.08 : x
  2. Step 2: Convert to fraction form
    14,000.10/20,981.61 = 10,285.08/x
  3. Step 3: Cross multiply
    14,000.10x = 20,981.61 × 10,285.08
  4. Step 4: Simplify right side
    14,000.10x = 215,797,537.38
  5. Step 5: Solve for x
    x = 215,797,537.38/14,000.10
  6. Step 6: Final answer
    x = 15,414.00

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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.