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Finding the Fourth Proportional to 14,593.36, 20,129.10 and 13,486

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Solution

The fourth proportional to 14,593.36, 20,129.10 and 13,486 is: 18,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.36 : 20,129.10 = 13,486 : x
  2. Step 2: Convert to fraction form
    14,593.36/20,129.10 = 13,486/x
  3. Step 3: Cross multiply
    14,593.36x = 20,129.10 × 13,486
  4. Step 4: Simplify right side
    14,593.36x = 271,461,042.60
  5. Step 5: Solve for x
    x = 271,461,042.60/14,593.36
  6. Step 6: Final answer
    x = 18,601.68

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1.5x scale

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.