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Finding the Fourth Proportional to 13,135.52, 18,127 and 9,781.20

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Solution

The fourth proportional to 13,135.52, 18,127 and 9,781.20 is: 13,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.52 : 18,127 = 9,781.20 : x
  2. Step 2: Convert to fraction form
    13,135.52/18,127 = 9,781.20/x
  3. Step 3: Cross multiply
    13,135.52x = 18,127 × 9,781.20
  4. Step 4: Simplify right side
    13,135.52x = 177,303,812.40
  5. Step 5: Solve for x
    x = 177,303,812.40/13,135.52
  6. Step 6: Final answer
    x = 13,498.04

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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.