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Finding the Fourth Proportional to 3,807.48, 5,712 and 1,616.20

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Solution

The fourth proportional to 3,807.48, 5,712 and 1,616.20 is: 2,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.48 : 5,712 = 1,616.20 : x
  2. Step 2: Convert to fraction form
    3,807.48/5,712 = 1,616.20/x
  3. Step 3: Cross multiply
    3,807.48x = 5,712 × 1,616.20
  4. Step 4: Simplify right side
    3,807.48x = 9,231,734.40
  5. Step 5: Solve for x
    x = 9,231,734.40/3,807.48
  6. Step 6: Final answer
    x = 2,424.63

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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.