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Finding the Fourth Proportional to 8,954.53, 13,366.06 and 8,294.78

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Solution

The fourth proportional to 8,954.53, 13,366.06 and 8,294.78 is: 12,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.53 : 13,366.06 = 8,294.78 : x
  2. Step 2: Convert to fraction form
    8,954.53/13,366.06 = 8,294.78/x
  3. Step 3: Cross multiply
    8,954.53x = 13,366.06 × 8,294.78
  4. Step 4: Simplify right side
    8,954.53x = 110,868,527.17
  5. Step 5: Solve for x
    x = 110,868,527.17/8,954.53
  6. Step 6: Final answer
    x = 12,381.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.