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Finding the Fourth Proportional to 5,287.75, 7,931.32 and 1,589.91

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Solution

The fourth proportional to 5,287.75, 7,931.32 and 1,589.91 is: 2,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.75 : 7,931.32 = 1,589.91 : x
  2. Step 2: Convert to fraction form
    5,287.75/7,931.32 = 1,589.91/x
  3. Step 3: Cross multiply
    5,287.75x = 7,931.32 × 1,589.91
  4. Step 4: Simplify right side
    5,287.75x = 12,610,084.98
  5. Step 5: Solve for x
    x = 12,610,084.98/5,287.75
  6. Step 6: Final answer
    x = 2,384.77

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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.