Home / 8,102.32-12,159.40-5,187.76

Finding the Fourth Proportional to 8,102.32, 12,159.40 and 5,187.76

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Solution

The fourth proportional to 8,102.32, 12,159.40 and 5,187.76 is: 7,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.32 : 12,159.40 = 5,187.76 : x
  2. Step 2: Convert to fraction form
    8,102.32/12,159.40 = 5,187.76/x
  3. Step 3: Cross multiply
    8,102.32x = 12,159.40 × 5,187.76
  4. Step 4: Simplify right side
    8,102.32x = 63,080,048.94
  5. Step 5: Solve for x
    x = 63,080,048.94/8,102.32
  6. Step 6: Final answer
    x = 7,785.43

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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.