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Finding the Fourth Proportional to 5,098.88, 7,638.44 and 2,985.38

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Solution

The fourth proportional to 5,098.88, 7,638.44 and 2,985.38 is: 4,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.88 : 7,638.44 = 2,985.38 : x
  2. Step 2: Convert to fraction form
    5,098.88/7,638.44 = 2,985.38/x
  3. Step 3: Cross multiply
    5,098.88x = 7,638.44 × 2,985.38
  4. Step 4: Simplify right side
    5,098.88x = 22,803,646.01
  5. Step 5: Solve for x
    x = 22,803,646.01/5,098.88
  6. Step 6: Final answer
    x = 4,472.29

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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.