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Finding the Fourth Proportional to 7,920.76, 11,881.08 and 2,374

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Solution

The fourth proportional to 7,920.76, 11,881.08 and 2,374 is: 3,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.76 : 11,881.08 = 2,374 : x
  2. Step 2: Convert to fraction form
    7,920.76/11,881.08 = 2,374/x
  3. Step 3: Cross multiply
    7,920.76x = 11,881.08 × 2,374
  4. Step 4: Simplify right side
    7,920.76x = 28,205,683.92
  5. Step 5: Solve for x
    x = 28,205,683.92/7,920.76
  6. Step 6: Final answer
    x = 3,560.98

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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.