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Finding the Fourth Proportional to 14,449.76, 19,933.28 and 9,422.40

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Solution

The fourth proportional to 14,449.76, 19,933.28 and 9,422.40 is: 12,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.76 : 19,933.28 = 9,422.40 : x
  2. Step 2: Convert to fraction form
    14,449.76/19,933.28 = 9,422.40/x
  3. Step 3: Cross multiply
    14,449.76x = 19,933.28 × 9,422.40
  4. Step 4: Simplify right side
    14,449.76x = 187,819,337.47
  5. Step 5: Solve for x
    x = 187,819,337.47/14,449.76
  6. Step 6: Final answer
    x = 12,998.09

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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.