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Finding the Fourth Proportional to 10,082.76, 15,113.10 and 8,617.44

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Solution

The fourth proportional to 10,082.76, 15,113.10 and 8,617.44 is: 12,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.76 : 15,113.10 = 8,617.44 : x
  2. Step 2: Convert to fraction form
    10,082.76/15,113.10 = 8,617.44/x
  3. Step 3: Cross multiply
    10,082.76x = 15,113.10 × 8,617.44
  4. Step 4: Simplify right side
    10,082.76x = 130,236,232.46
  5. Step 5: Solve for x
    x = 130,236,232.46/10,082.76
  6. Step 6: Final answer
    x = 12,916.72

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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.