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Finding the Fourth Proportional to 9,886.33, 13,642.86 and 5,853.36

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Solution

The fourth proportional to 9,886.33, 13,642.86 and 5,853.36 is: 8,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.33 : 13,642.86 = 5,853.36 : x
  2. Step 2: Convert to fraction form
    9,886.33/13,642.86 = 5,853.36/x
  3. Step 3: Cross multiply
    9,886.33x = 13,642.86 × 5,853.36
  4. Step 4: Simplify right side
    9,886.33x = 79,856,571.01
  5. Step 5: Solve for x
    x = 79,856,571.01/9,886.33
  6. Step 6: Final answer
    x = 8,077.47

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