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Finding the Fourth Proportional to 14,368.64, 21,552.80 and 3,980

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Solution

The fourth proportional to 14,368.64, 21,552.80 and 3,980 is: 5,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.64 : 21,552.80 = 3,980 : x
  2. Step 2: Convert to fraction form
    14,368.64/21,552.80 = 3,980/x
  3. Step 3: Cross multiply
    14,368.64x = 21,552.80 × 3,980
  4. Step 4: Simplify right side
    14,368.64x = 85,780,144
  5. Step 5: Solve for x
    x = 85,780,144/14,368.64
  6. Step 6: Final answer
    x = 5,969.96

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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.