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Finding the Fourth Proportional to 13,080, 18,050.40 and 7,192

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Solution

The fourth proportional to 13,080, 18,050.40 and 7,192 is: 9,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080 : 18,050.40 = 7,192 : x
  2. Step 2: Convert to fraction form
    13,080/18,050.40 = 7,192/x
  3. Step 3: Cross multiply
    13,080x = 18,050.40 × 7,192
  4. Step 4: Simplify right side
    13,080x = 129,818,476.80
  5. Step 5: Solve for x
    x = 129,818,476.80/13,080
  6. Step 6: Final answer
    x = 9,924.96

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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.