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Finding the Fourth Proportional to 5,607.16, 7,731.42 and 3,720.28

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Solution

The fourth proportional to 5,607.16, 7,731.42 and 3,720.28 is: 5,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.16 : 7,731.42 = 3,720.28 : x
  2. Step 2: Convert to fraction form
    5,607.16/7,731.42 = 3,720.28/x
  3. Step 3: Cross multiply
    5,607.16x = 7,731.42 × 3,720.28
  4. Step 4: Simplify right side
    5,607.16x = 28,763,047.20
  5. Step 5: Solve for x
    x = 28,763,047.20/5,607.16
  6. Step 6: Final answer
    x = 5,129.70

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Why These Related Problems?

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