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Finding the Fourth Proportional to 5,287.35, 7,931.04 and 1,589.57

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Solution

The fourth proportional to 5,287.35, 7,931.04 and 1,589.57 is: 2,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.35 : 7,931.04 = 1,589.57 : x
  2. Step 2: Convert to fraction form
    5,287.35/7,931.04 = 1,589.57/x
  3. Step 3: Cross multiply
    5,287.35x = 7,931.04 × 1,589.57
  4. Step 4: Simplify right side
    5,287.35x = 12,606,943.25
  5. Step 5: Solve for x
    x = 12,606,943.25/5,287.35
  6. Step 6: Final answer
    x = 2,384.36

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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.