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Finding the Fourth Proportional to 3,124, 4,686.77 and 932.72

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Solution

The fourth proportional to 3,124, 4,686.77 and 932.72 is: 1,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124 : 4,686.77 = 932.72 : x
  2. Step 2: Convert to fraction form
    3,124/4,686.77 = 932.72/x
  3. Step 3: Cross multiply
    3,124x = 4,686.77 × 932.72
  4. Step 4: Simplify right side
    3,124x = 4,371,444.11
  5. Step 5: Solve for x
    x = 4,371,444.11/3,124
  6. Step 6: Final answer
    x = 1,399.31

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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.