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Finding the Fourth Proportional to 9,866, 13,615.88 and 5,675.60

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Solution

The fourth proportional to 9,866, 13,615.88 and 5,675.60 is: 7,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 13,615.88 = 5,675.60 : x
  2. Step 2: Convert to fraction form
    9,866/13,615.88 = 5,675.60/x
  3. Step 3: Cross multiply
    9,866x = 13,615.88 × 5,675.60
  4. Step 4: Simplify right side
    9,866x = 77,278,288.53
  5. Step 5: Solve for x
    x = 77,278,288.53/9,866
  6. Step 6: Final answer
    x = 7,832.79

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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.