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Finding the Fourth Proportional to 2,047.28, 3,068.28 and 747.20

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Solution

The fourth proportional to 2,047.28, 3,068.28 and 747.20 is: 1,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.28 : 3,068.28 = 747.20 : x
  2. Step 2: Convert to fraction form
    2,047.28/3,068.28 = 747.20/x
  3. Step 3: Cross multiply
    2,047.28x = 3,068.28 × 747.20
  4. Step 4: Simplify right side
    2,047.28x = 2,292,618.82
  5. Step 5: Solve for x
    x = 2,292,618.82/2,047.28
  6. Step 6: Final answer
    x = 1,119.84

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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.