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Finding the Fourth Proportional to 3,123.63, 4,689.04 and 1,587.87

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Solution

The fourth proportional to 3,123.63, 4,689.04 and 1,587.87 is: 2,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.63 : 4,689.04 = 1,587.87 : x
  2. Step 2: Convert to fraction form
    3,123.63/4,689.04 = 1,587.87/x
  3. Step 3: Cross multiply
    3,123.63x = 4,689.04 × 1,587.87
  4. Step 4: Simplify right side
    3,123.63x = 7,445,585.94
  5. Step 5: Solve for x
    x = 7,445,585.94/3,123.63
  6. Step 6: Final answer
    x = 2,383.63

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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.