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Finding the Fourth Proportional to 14,321.13, 19,763.05 and 7,947.66

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Solution

The fourth proportional to 14,321.13, 19,763.05 and 7,947.66 is: 10,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.13 : 19,763.05 = 7,947.66 : x
  2. Step 2: Convert to fraction form
    14,321.13/19,763.05 = 7,947.66/x
  3. Step 3: Cross multiply
    14,321.13x = 19,763.05 × 7,947.66
  4. Step 4: Simplify right side
    14,321.13x = 157,070,001.96
  5. Step 5: Solve for x
    x = 157,070,001.96/14,321.13
  6. Step 6: Final answer
    x = 10,967.71

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1.5x scale

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.