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Finding the Fourth Proportional to 3,963.68, 5,946.24 and 1,655.20

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Solution

The fourth proportional to 3,963.68, 5,946.24 and 1,655.20 is: 2,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.68 : 5,946.24 = 1,655.20 : x
  2. Step 2: Convert to fraction form
    3,963.68/5,946.24 = 1,655.20/x
  3. Step 3: Cross multiply
    3,963.68x = 5,946.24 × 1,655.20
  4. Step 4: Simplify right side
    3,963.68x = 9,842,216.45
  5. Step 5: Solve for x
    x = 9,842,216.45/3,963.68
  6. Step 6: Final answer
    x = 2,483.10

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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.