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Finding the Fourth Proportional to 15,082.56, 20,810.64 and 9,114.12

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Solution

The fourth proportional to 15,082.56, 20,810.64 and 9,114.12 is: 12,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.56 : 20,810.64 = 9,114.12 : x
  2. Step 2: Convert to fraction form
    15,082.56/20,810.64 = 9,114.12/x
  3. Step 3: Cross multiply
    15,082.56x = 20,810.64 × 9,114.12
  4. Step 4: Simplify right side
    15,082.56x = 189,670,670.24
  5. Step 5: Solve for x
    x = 189,670,670.24/15,082.56
  6. Step 6: Final answer
    x = 12,575.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.