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Finding the Fourth Proportional to 4,742.68, 7,115.04 and 1,456.02

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Solution

The fourth proportional to 4,742.68, 7,115.04 and 1,456.02 is: 2,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.68 : 7,115.04 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    4,742.68/7,115.04 = 1,456.02/x
  3. Step 3: Cross multiply
    4,742.68x = 7,115.04 × 1,456.02
  4. Step 4: Simplify right side
    4,742.68x = 10,359,640.54
  5. Step 5: Solve for x
    x = 10,359,640.54/4,742.68
  6. Step 6: Final answer
    x = 2,184.34

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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.