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Finding the Fourth Proportional to 5,230.46, 7,845.90 and 1,334.90

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Solution

The fourth proportional to 5,230.46, 7,845.90 and 1,334.90 is: 2,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.46 : 7,845.90 = 1,334.90 : x
  2. Step 2: Convert to fraction form
    5,230.46/7,845.90 = 1,334.90/x
  3. Step 3: Cross multiply
    5,230.46x = 7,845.90 × 1,334.90
  4. Step 4: Simplify right side
    5,230.46x = 10,473,491.91
  5. Step 5: Solve for x
    x = 10,473,491.91/5,230.46
  6. Step 6: Final answer
    x = 2,002.40

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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.