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Finding the Fourth Proportional to 10,474.02, 15,713.22 and 9,428.40

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Solution

The fourth proportional to 10,474.02, 15,713.22 and 9,428.40 is: 14,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.02 : 15,713.22 = 9,428.40 : x
  2. Step 2: Convert to fraction form
    10,474.02/15,713.22 = 9,428.40/x
  3. Step 3: Cross multiply
    10,474.02x = 15,713.22 × 9,428.40
  4. Step 4: Simplify right side
    10,474.02x = 148,150,523.45
  5. Step 5: Solve for x
    x = 148,150,523.45/10,474.02
  6. Step 6: Final answer
    x = 14,144.57

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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.