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Finding the Fourth Proportional to 22,776.66, 31,446.40 and 14,290.40

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Solution

The fourth proportional to 22,776.66, 31,446.40 and 14,290.40 is: 19,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.66 : 31,446.40 = 14,290.40 : x
  2. Step 2: Convert to fraction form
    22,776.66/31,446.40 = 14,290.40/x
  3. Step 3: Cross multiply
    22,776.66x = 31,446.40 × 14,290.40
  4. Step 4: Simplify right side
    22,776.66x = 449,381,634.56
  5. Step 5: Solve for x
    x = 449,381,634.56/22,776.66
  6. Step 6: Final answer
    x = 19,729.92

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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.