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Finding the Fourth Proportional to 55,585.96, 83,391.42 and 18,649

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Solution

The fourth proportional to 55,585.96, 83,391.42 and 18,649 is: 27,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,585.96 : 83,391.42 = 18,649 : x
  2. Step 2: Convert to fraction form
    55,585.96/83,391.42 = 18,649/x
  3. Step 3: Cross multiply
    55,585.96x = 83,391.42 × 18,649
  4. Step 4: Simplify right side
    55,585.96x = 1,555,166,591.58
  5. Step 5: Solve for x
    x = 1,555,166,591.58/55,585.96
  6. Step 6: Final answer
    x = 27,977.69

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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.