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Finding the Fourth Proportional to 3,854.74, 5,778.87 and 3,122.50

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Solution

The fourth proportional to 3,854.74, 5,778.87 and 3,122.50 is: 4,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.74 : 5,778.87 = 3,122.50 : x
  2. Step 2: Convert to fraction form
    3,854.74/5,778.87 = 3,122.50/x
  3. Step 3: Cross multiply
    3,854.74x = 5,778.87 × 3,122.50
  4. Step 4: Simplify right side
    3,854.74x = 18,044,521.58
  5. Step 5: Solve for x
    x = 18,044,521.58/3,854.74
  6. Step 6: Final answer
    x = 4,681.13

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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.