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Finding the Fourth Proportional to 14,531.76, 21,776.81 and 8,278.83

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Solution

The fourth proportional to 14,531.76, 21,776.81 and 8,278.83 is: 12,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.76 : 21,776.81 = 8,278.83 : x
  2. Step 2: Convert to fraction form
    14,531.76/21,776.81 = 8,278.83/x
  3. Step 3: Cross multiply
    14,531.76x = 21,776.81 × 8,278.83
  4. Step 4: Simplify right side
    14,531.76x = 180,286,466.54
  5. Step 5: Solve for x
    x = 180,286,466.54/14,531.76
  6. Step 6: Final answer
    x = 12,406.38

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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.