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Finding the Fourth Proportional to 11,419.70, 15,760.32 and 6,703.88

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Solution

The fourth proportional to 11,419.70, 15,760.32 and 6,703.88 is: 9,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.70 : 15,760.32 = 6,703.88 : x
  2. Step 2: Convert to fraction form
    11,419.70/15,760.32 = 6,703.88/x
  3. Step 3: Cross multiply
    11,419.70x = 15,760.32 × 6,703.88
  4. Step 4: Simplify right side
    11,419.70x = 105,655,294.04
  5. Step 5: Solve for x
    x = 105,655,294.04/11,419.70
  6. Step 6: Final answer
    x = 9,252.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.