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Finding the Fourth Proportional to 5,287.52, 7,931.37 and 2,002.16

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Solution

The fourth proportional to 5,287.52, 7,931.37 and 2,002.16 is: 3,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.52 : 7,931.37 = 2,002.16 : x
  2. Step 2: Convert to fraction form
    5,287.52/7,931.37 = 2,002.16/x
  3. Step 3: Cross multiply
    5,287.52x = 7,931.37 × 2,002.16
  4. Step 4: Simplify right side
    5,287.52x = 15,879,899.10
  5. Step 5: Solve for x
    x = 15,879,899.10/5,287.52
  6. Step 6: Final answer
    x = 3,003.28

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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.