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Finding the Fourth Proportional to 55,484.64, 83,209.68 and 18,540

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Solution

The fourth proportional to 55,484.64, 83,209.68 and 18,540 is: 27,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,484.64 : 83,209.68 = 18,540 : x
  2. Step 2: Convert to fraction form
    55,484.64/83,209.68 = 18,540/x
  3. Step 3: Cross multiply
    55,484.64x = 83,209.68 × 18,540
  4. Step 4: Simplify right side
    55,484.64x = 1,542,707,467.20
  5. Step 5: Solve for x
    x = 1,542,707,467.20/55,484.64
  6. Step 6: Final answer
    x = 27,804.23

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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.