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Finding the Fourth Proportional to 7,884.80, 11,822.70 and 2,954.60

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Solution

The fourth proportional to 7,884.80, 11,822.70 and 2,954.60 is: 4,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.80 : 11,822.70 = 2,954.60 : x
  2. Step 2: Convert to fraction form
    7,884.80/11,822.70 = 2,954.60/x
  3. Step 3: Cross multiply
    7,884.80x = 11,822.70 × 2,954.60
  4. Step 4: Simplify right side
    7,884.80x = 34,931,349.42
  5. Step 5: Solve for x
    x = 34,931,349.42/7,884.80
  6. Step 6: Final answer
    x = 4,430.21

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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.