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Finding the Fourth Proportional to 10,827.84, 16,232.04 and 8,990.76

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Solution

The fourth proportional to 10,827.84, 16,232.04 and 8,990.76 is: 13,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.84 : 16,232.04 = 8,990.76 : x
  2. Step 2: Convert to fraction form
    10,827.84/16,232.04 = 8,990.76/x
  3. Step 3: Cross multiply
    10,827.84x = 16,232.04 × 8,990.76
  4. Step 4: Simplify right side
    10,827.84x = 145,938,375.95
  5. Step 5: Solve for x
    x = 145,938,375.95/10,827.84
  6. Step 6: Final answer
    x = 13,478.07

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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.