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Finding the Fourth Proportional to 5,287.87, 7,931.86 and 2,126.77

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Solution

The fourth proportional to 5,287.87, 7,931.86 and 2,126.77 is: 3,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.87 : 7,931.86 = 2,126.77 : x
  2. Step 2: Convert to fraction form
    5,287.87/7,931.86 = 2,126.77/x
  3. Step 3: Cross multiply
    5,287.87x = 7,931.86 × 2,126.77
  4. Step 4: Simplify right side
    5,287.87x = 16,869,216.75
  5. Step 5: Solve for x
    x = 16,869,216.75/5,287.87
  6. Step 6: Final answer
    x = 3,190.17

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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.