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Finding the Fourth Proportional to 13,672, 20,509.98 and 4,308.85

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Solution

The fourth proportional to 13,672, 20,509.98 and 4,308.85 is: 6,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672 : 20,509.98 = 4,308.85 : x
  2. Step 2: Convert to fraction form
    13,672/20,509.98 = 4,308.85/x
  3. Step 3: Cross multiply
    13,672x = 20,509.98 × 4,308.85
  4. Step 4: Simplify right side
    13,672x = 88,374,427.32
  5. Step 5: Solve for x
    x = 88,374,427.32/13,672
  6. Step 6: Final answer
    x = 6,463.90

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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.