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Finding the Fourth Proportional to 13,512.59, 18,642.00 and 9,029.24

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Solution

The fourth proportional to 13,512.59, 18,642.00 and 9,029.24 is: 12,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.59 : 18,642.00 = 9,029.24 : x
  2. Step 2: Convert to fraction form
    13,512.59/18,642.00 = 9,029.24/x
  3. Step 3: Cross multiply
    13,512.59x = 18,642.00 × 9,029.24
  4. Step 4: Simplify right side
    13,512.59x = 168,323,102.64
  5. Step 5: Solve for x
    x = 168,323,102.64/13,512.59
  6. Step 6: Final answer
    x = 12,456.76

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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.