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Finding the Fourth Proportional to 14,486, 19,990.92 and 7,862

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Solution

The fourth proportional to 14,486, 19,990.92 and 7,862 is: 10,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486 : 19,990.92 = 7,862 : x
  2. Step 2: Convert to fraction form
    14,486/19,990.92 = 7,862/x
  3. Step 3: Cross multiply
    14,486x = 19,990.92 × 7,862
  4. Step 4: Simplify right side
    14,486x = 157,168,613.04
  5. Step 5: Solve for x
    x = 157,168,613.04/14,486
  6. Step 6: Final answer
    x = 10,849.69

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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.