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Finding the Fourth Proportional to 14,761.17, 20,378.89 and 9,723.54

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Solution

The fourth proportional to 14,761.17, 20,378.89 and 9,723.54 is: 13,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.17 : 20,378.89 = 9,723.54 : x
  2. Step 2: Convert to fraction form
    14,761.17/20,378.89 = 9,723.54/x
  3. Step 3: Cross multiply
    14,761.17x = 20,378.89 × 9,723.54
  4. Step 4: Simplify right side
    14,761.17x = 198,155,040.65
  5. Step 5: Solve for x
    x = 198,155,040.65/14,761.17
  6. Step 6: Final answer
    x = 13,424.07

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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.