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Finding the Fourth Proportional to 13,980, 20,965.52 and 4,617.84

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Solution

The fourth proportional to 13,980, 20,965.52 and 4,617.84 is: 6,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980 : 20,965.52 = 4,617.84 : x
  2. Step 2: Convert to fraction form
    13,980/20,965.52 = 4,617.84/x
  3. Step 3: Cross multiply
    13,980x = 20,965.52 × 4,617.84
  4. Step 4: Simplify right side
    13,980x = 96,815,416.88
  5. Step 5: Solve for x
    x = 96,815,416.88/13,980
  6. Step 6: Final answer
    x = 6,925.28

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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.