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Finding the Fourth Proportional to 5,617.52, 7,752 and 3,099.60

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Solution

The fourth proportional to 5,617.52, 7,752 and 3,099.60 is: 4,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.52 : 7,752 = 3,099.60 : x
  2. Step 2: Convert to fraction form
    5,617.52/7,752 = 3,099.60/x
  3. Step 3: Cross multiply
    5,617.52x = 7,752 × 3,099.60
  4. Step 4: Simplify right side
    5,617.52x = 24,028,099.20
  5. Step 5: Solve for x
    x = 24,028,099.20/5,617.52
  6. Step 6: Final answer
    x = 4,277.35

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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.