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Finding the Fourth Proportional to 12,281.12, 18,408 and 4,883.60

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Solution

The fourth proportional to 12,281.12, 18,408 and 4,883.60 is: 7,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.12 : 18,408 = 4,883.60 : x
  2. Step 2: Convert to fraction form
    12,281.12/18,408 = 4,883.60/x
  3. Step 3: Cross multiply
    12,281.12x = 18,408 × 4,883.60
  4. Step 4: Simplify right side
    12,281.12x = 89,897,308.80
  5. Step 5: Solve for x
    x = 89,897,308.80/12,281.12
  6. Step 6: Final answer
    x = 7,319.96

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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.