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Finding the Fourth Proportional to 3,654.40, 5,480 and 1,057.28

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Solution

The fourth proportional to 3,654.40, 5,480 and 1,057.28 is: 1,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.40 : 5,480 = 1,057.28 : x
  2. Step 2: Convert to fraction form
    3,654.40/5,480 = 1,057.28/x
  3. Step 3: Cross multiply
    3,654.40x = 5,480 × 1,057.28
  4. Step 4: Simplify right side
    3,654.40x = 5,793,894.40
  5. Step 5: Solve for x
    x = 5,793,894.40/3,654.40
  6. Step 6: Final answer
    x = 1,585.46

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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.