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Finding the Fourth Proportional to 5,711.87, 7,880.96 and 3,587.76

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Solution

The fourth proportional to 5,711.87, 7,880.96 and 3,587.76 is: 4,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.87 : 7,880.96 = 3,587.76 : x
  2. Step 2: Convert to fraction form
    5,711.87/7,880.96 = 3,587.76/x
  3. Step 3: Cross multiply
    5,711.87x = 7,880.96 × 3,587.76
  4. Step 4: Simplify right side
    5,711.87x = 28,275,002.02
  5. Step 5: Solve for x
    x = 28,275,002.02/5,711.87
  6. Step 6: Final answer
    x = 4,950.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.