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Finding the Fourth Proportional to 13,502.70, 20,254.17 and 4,142.70

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Solution

The fourth proportional to 13,502.70, 20,254.17 and 4,142.70 is: 6,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.70 : 20,254.17 = 4,142.70 : x
  2. Step 2: Convert to fraction form
    13,502.70/20,254.17 = 4,142.70/x
  3. Step 3: Cross multiply
    13,502.70x = 20,254.17 × 4,142.70
  4. Step 4: Simplify right side
    13,502.70x = 83,906,950.06
  5. Step 5: Solve for x
    x = 83,906,950.06/13,502.70
  6. Step 6: Final answer
    x = 6,214.09

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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.