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Finding the Fourth Proportional to 10,609.79, 15,912.62 and 10,082.93

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Solution

The fourth proportional to 10,609.79, 15,912.62 and 10,082.93 is: 15,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.79 : 15,912.62 = 10,082.93 : x
  2. Step 2: Convert to fraction form
    10,609.79/15,912.62 = 10,082.93/x
  3. Step 3: Cross multiply
    10,609.79x = 15,912.62 × 10,082.93
  4. Step 4: Simplify right side
    10,609.79x = 160,445,741.41
  5. Step 5: Solve for x
    x = 160,445,741.41/10,609.79
  6. Step 6: Final answer
    x = 15,122.43

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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.