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Finding the Fourth Proportional to 13,014, 19,519.92 and 6,437.88

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Solution

The fourth proportional to 13,014, 19,519.92 and 6,437.88 is: 9,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 19,519.92 = 6,437.88 : x
  2. Step 2: Convert to fraction form
    13,014/19,519.92 = 6,437.88/x
  3. Step 3: Cross multiply
    13,014x = 19,519.92 × 6,437.88
  4. Step 4: Simplify right side
    13,014x = 125,666,902.57
  5. Step 5: Solve for x
    x = 125,666,902.57/13,014
  6. Step 6: Final answer
    x = 9,656.29

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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.