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Finding the Fourth Proportional to 10,306.99, 15,461.10 and 2,912.02

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Solution

The fourth proportional to 10,306.99, 15,461.10 and 2,912.02 is: 4,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.99 : 15,461.10 = 2,912.02 : x
  2. Step 2: Convert to fraction form
    10,306.99/15,461.10 = 2,912.02/x
  3. Step 3: Cross multiply
    10,306.99x = 15,461.10 × 2,912.02
  4. Step 4: Simplify right side
    10,306.99x = 45,023,032.42
  5. Step 5: Solve for x
    x = 45,023,032.42/10,306.99
  6. Step 6: Final answer
    x = 4,368.20

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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.