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Finding the Fourth Proportional to 13,140.88, 19,714.19 and 4,932.88

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Solution

The fourth proportional to 13,140.88, 19,714.19 and 4,932.88 is: 7,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.88 : 19,714.19 = 4,932.88 : x
  2. Step 2: Convert to fraction form
    13,140.88/19,714.19 = 4,932.88/x
  3. Step 3: Cross multiply
    13,140.88x = 19,714.19 × 4,932.88
  4. Step 4: Simplify right side
    13,140.88x = 97,247,647.33
  5. Step 5: Solve for x
    x = 97,247,647.33/13,140.88
  6. Step 6: Final answer
    x = 7,400.39

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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.