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Finding the Fourth Proportional to 9,543, 14,315.22 and 3,387

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Solution

The fourth proportional to 9,543, 14,315.22 and 3,387 is: 5,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543 : 14,315.22 = 3,387 : x
  2. Step 2: Convert to fraction form
    9,543/14,315.22 = 3,387/x
  3. Step 3: Cross multiply
    9,543x = 14,315.22 × 3,387
  4. Step 4: Simplify right side
    9,543x = 48,485,650.14
  5. Step 5: Solve for x
    x = 48,485,650.14/9,543
  6. Step 6: Final answer
    x = 5,080.76

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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.