Home / 8,117.86-12,178.02-2,569.36

Finding the Fourth Proportional to 8,117.86, 12,178.02 and 2,569.36

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Solution

The fourth proportional to 8,117.86, 12,178.02 and 2,569.36 is: 3,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.86 : 12,178.02 = 2,569.36 : x
  2. Step 2: Convert to fraction form
    8,117.86/12,178.02 = 2,569.36/x
  3. Step 3: Cross multiply
    8,117.86x = 12,178.02 × 2,569.36
  4. Step 4: Simplify right side
    8,117.86x = 31,289,717.47
  5. Step 5: Solve for x
    x = 31,289,717.47/8,117.86
  6. Step 6: Final answer
    x = 3,854.43

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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.