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Finding the Fourth Proportional to 8,121.90, 12,187.65 and 2,927.10

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Solution

The fourth proportional to 8,121.90, 12,187.65 and 2,927.10 is: 4,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.90 : 12,187.65 = 2,927.10 : x
  2. Step 2: Convert to fraction form
    8,121.90/12,187.65 = 2,927.10/x
  3. Step 3: Cross multiply
    8,121.90x = 12,187.65 × 2,927.10
  4. Step 4: Simplify right side
    8,121.90x = 35,674,470.32
  5. Step 5: Solve for x
    x = 35,674,470.32/8,121.90
  6. Step 6: Final answer
    x = 4,392.38

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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.