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Finding the Fourth Proportional to 14,195.80, 21,400 and 13,244.32

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Solution

The fourth proportional to 14,195.80, 21,400 and 13,244.32 is: 19,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.80 : 21,400 = 13,244.32 : x
  2. Step 2: Convert to fraction form
    14,195.80/21,400 = 13,244.32/x
  3. Step 3: Cross multiply
    14,195.80x = 21,400 × 13,244.32
  4. Step 4: Simplify right side
    14,195.80x = 283,428,448
  5. Step 5: Solve for x
    x = 283,428,448/14,195.80
  6. Step 6: Final answer
    x = 19,965.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.