Home / 8,323.08-12,478-4,160.76

Finding the Fourth Proportional to 8,323.08, 12,478 and 4,160.76

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Solution

The fourth proportional to 8,323.08, 12,478 and 4,160.76 is: 6,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.08 : 12,478 = 4,160.76 : x
  2. Step 2: Convert to fraction form
    8,323.08/12,478 = 4,160.76/x
  3. Step 3: Cross multiply
    8,323.08x = 12,478 × 4,160.76
  4. Step 4: Simplify right side
    8,323.08x = 51,917,963.28
  5. Step 5: Solve for x
    x = 51,917,963.28/8,323.08
  6. Step 6: Final answer
    x = 6,237.83

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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.