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Finding the Fourth Proportional to 13,881.60, 20,822.40 and 7,320.60

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Solution

The fourth proportional to 13,881.60, 20,822.40 and 7,320.60 is: 10,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.60 : 20,822.40 = 7,320.60 : x
  2. Step 2: Convert to fraction form
    13,881.60/20,822.40 = 7,320.60/x
  3. Step 3: Cross multiply
    13,881.60x = 20,822.40 × 7,320.60
  4. Step 4: Simplify right side
    13,881.60x = 152,432,461.44
  5. Step 5: Solve for x
    x = 152,432,461.44/13,881.60
  6. Step 6: Final answer
    x = 10,980.90

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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.