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Finding the Fourth Proportional to 1,911.60, 2,863.02 and 1,587.60

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Solution

The fourth proportional to 1,911.60, 2,863.02 and 1,587.60 is: 2,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.60 : 2,863.02 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    1,911.60/2,863.02 = 1,587.60/x
  3. Step 3: Cross multiply
    1,911.60x = 2,863.02 × 1,587.60
  4. Step 4: Simplify right side
    1,911.60x = 4,545,330.55
  5. Step 5: Solve for x
    x = 4,545,330.55/1,911.60
  6. Step 6: Final answer
    x = 2,377.76

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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.