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Finding the Fourth Proportional to 3,129.87, 4,686.70 and 2,478.63

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Solution

The fourth proportional to 3,129.87, 4,686.70 and 2,478.63 is: 3,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.87 : 4,686.70 = 2,478.63 : x
  2. Step 2: Convert to fraction form
    3,129.87/4,686.70 = 2,478.63/x
  3. Step 3: Cross multiply
    3,129.87x = 4,686.70 × 2,478.63
  4. Step 4: Simplify right side
    3,129.87x = 11,616,595.22
  5. Step 5: Solve for x
    x = 11,616,595.22/3,129.87
  6. Step 6: Final answer
    x = 3,711.53

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1.5x scale

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.