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Finding the Fourth Proportional to 3,139.65, 4,700.27 and 1,655.37

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Solution

The fourth proportional to 3,139.65, 4,700.27 and 1,655.37 is: 2,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.65 : 4,700.27 = 1,655.37 : x
  2. Step 2: Convert to fraction form
    3,139.65/4,700.27 = 1,655.37/x
  3. Step 3: Cross multiply
    3,139.65x = 4,700.27 × 1,655.37
  4. Step 4: Simplify right side
    3,139.65x = 7,780,685.95
  5. Step 5: Solve for x
    x = 7,780,685.95/3,139.65
  6. Step 6: Final answer
    x = 2,478.20

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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.