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Finding the Fourth Proportional to 7,877.76, 11,823.93 and 3,984.90

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Solution

The fourth proportional to 7,877.76, 11,823.93 and 3,984.90 is: 5,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.76 : 11,823.93 = 3,984.90 : x
  2. Step 2: Convert to fraction form
    7,877.76/11,823.93 = 3,984.90/x
  3. Step 3: Cross multiply
    7,877.76x = 11,823.93 × 3,984.90
  4. Step 4: Simplify right side
    7,877.76x = 47,117,178.66
  5. Step 5: Solve for x
    x = 47,117,178.66/7,877.76
  6. Step 6: Final answer
    x = 5,981.04

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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.