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Finding the Fourth Proportional to 8,474.17, 12,709.23 and 2,927.71

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Solution

The fourth proportional to 8,474.17, 12,709.23 and 2,927.71 is: 4,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.17 : 12,709.23 = 2,927.71 : x
  2. Step 2: Convert to fraction form
    8,474.17/12,709.23 = 2,927.71/x
  3. Step 3: Cross multiply
    8,474.17x = 12,709.23 × 2,927.71
  4. Step 4: Simplify right side
    8,474.17x = 37,208,939.76
  5. Step 5: Solve for x
    x = 37,208,939.76/8,474.17
  6. Step 6: Final answer
    x = 4,390.87

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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.