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Finding the Fourth Proportional to 5,301.57, 7,314.32 and 3,031.28

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Solution

The fourth proportional to 5,301.57, 7,314.32 and 3,031.28 is: 4,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.57 : 7,314.32 = 3,031.28 : x
  2. Step 2: Convert to fraction form
    5,301.57/7,314.32 = 3,031.28/x
  3. Step 3: Cross multiply
    5,301.57x = 7,314.32 × 3,031.28
  4. Step 4: Simplify right side
    5,301.57x = 22,171,700.20
  5. Step 5: Solve for x
    x = 22,171,700.20/5,301.57
  6. Step 6: Final answer
    x = 4,182.10

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