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Finding the Fourth Proportional to 8,954.74, 13,432.11 and 3,406.78

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Solution

The fourth proportional to 8,954.74, 13,432.11 and 3,406.78 is: 5,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.74 : 13,432.11 = 3,406.78 : x
  2. Step 2: Convert to fraction form
    8,954.74/13,432.11 = 3,406.78/x
  3. Step 3: Cross multiply
    8,954.74x = 13,432.11 × 3,406.78
  4. Step 4: Simplify right side
    8,954.74x = 45,760,243.71
  5. Step 5: Solve for x
    x = 45,760,243.71/8,954.74
  6. Step 6: Final answer
    x = 5,110.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.