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Finding the Fourth Proportional to 5,638.01, 8,456.02 and 1,742.45

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Solution

The fourth proportional to 5,638.01, 8,456.02 and 1,742.45 is: 2,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.01 : 8,456.02 = 1,742.45 : x
  2. Step 2: Convert to fraction form
    5,638.01/8,456.02 = 1,742.45/x
  3. Step 3: Cross multiply
    5,638.01x = 8,456.02 × 1,742.45
  4. Step 4: Simplify right side
    5,638.01x = 14,734,141.06
  5. Step 5: Solve for x
    x = 14,734,141.06/5,638.01
  6. Step 6: Final answer
    x = 2,613.36

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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.