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Finding the Fourth Proportional to 18,513.52, 27,760.32 and 8,113.12

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Solution

The fourth proportional to 18,513.52, 27,760.32 and 8,113.12 is: 12,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.52 : 27,760.32 = 8,113.12 : x
  2. Step 2: Convert to fraction form
    18,513.52/27,760.32 = 8,113.12/x
  3. Step 3: Cross multiply
    18,513.52x = 27,760.32 × 8,113.12
  4. Step 4: Simplify right side
    18,513.52x = 225,222,807.40
  5. Step 5: Solve for x
    x = 225,222,807.40/18,513.52
  6. Step 6: Final answer
    x = 12,165.32

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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.