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Finding the Fourth Proportional to 13,751.46, 18,973.80 and 7,781.82

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Solution

The fourth proportional to 13,751.46, 18,973.80 and 7,781.82 is: 10,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.46 : 18,973.80 = 7,781.82 : x
  2. Step 2: Convert to fraction form
    13,751.46/18,973.80 = 7,781.82/x
  3. Step 3: Cross multiply
    13,751.46x = 18,973.80 × 7,781.82
  4. Step 4: Simplify right side
    13,751.46x = 147,650,696.32
  5. Step 5: Solve for x
    x = 147,650,696.32/13,751.46
  6. Step 6: Final answer
    x = 10,737.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.