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Finding the Fourth Proportional to 4,488.12, 6,731.73 and 1,854.87

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Solution

The fourth proportional to 4,488.12, 6,731.73 and 1,854.87 is: 2,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.12 : 6,731.73 = 1,854.87 : x
  2. Step 2: Convert to fraction form
    4,488.12/6,731.73 = 1,854.87/x
  3. Step 3: Cross multiply
    4,488.12x = 6,731.73 × 1,854.87
  4. Step 4: Simplify right side
    4,488.12x = 12,486,484.03
  5. Step 5: Solve for x
    x = 12,486,484.03/4,488.12
  6. Step 6: Final answer
    x = 2,782.12

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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.