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Finding the Fourth Proportional to 7,671.74, 11,508.01 and 2,478.02

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Solution

The fourth proportional to 7,671.74, 11,508.01 and 2,478.02 is: 3,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.74 : 11,508.01 = 2,478.02 : x
  2. Step 2: Convert to fraction form
    7,671.74/11,508.01 = 2,478.02/x
  3. Step 3: Cross multiply
    7,671.74x = 11,508.01 × 2,478.02
  4. Step 4: Simplify right side
    7,671.74x = 28,517,015.21
  5. Step 5: Solve for x
    x = 28,517,015.21/7,671.74
  6. Step 6: Final answer
    x = 3,717.15

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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.