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Finding the Fourth Proportional to 13,691.88, 20,525.04 and 7,442.64

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Solution

The fourth proportional to 13,691.88, 20,525.04 and 7,442.64 is: 11,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.88 : 20,525.04 = 7,442.64 : x
  2. Step 2: Convert to fraction form
    13,691.88/20,525.04 = 7,442.64/x
  3. Step 3: Cross multiply
    13,691.88x = 20,525.04 × 7,442.64
  4. Step 4: Simplify right side
    13,691.88x = 152,760,483.71
  5. Step 5: Solve for x
    x = 152,760,483.71/13,691.88
  6. Step 6: Final answer
    x = 11,157.01

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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.