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Finding the Fourth Proportional to 8,525.41, 12,785.33 and 3,115.01

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Solution

The fourth proportional to 8,525.41, 12,785.33 and 3,115.01 is: 4,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.41 : 12,785.33 = 3,115.01 : x
  2. Step 2: Convert to fraction form
    8,525.41/12,785.33 = 3,115.01/x
  3. Step 3: Cross multiply
    8,525.41x = 12,785.33 × 3,115.01
  4. Step 4: Simplify right side
    8,525.41x = 39,826,470.55
  5. Step 5: Solve for x
    x = 39,826,470.55/8,525.41
  6. Step 6: Final answer
    x = 4,671.50

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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.