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Finding the Fourth Proportional to 9,863.13, 13,610.62 and 5,386.02

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Solution

The fourth proportional to 9,863.13, 13,610.62 and 5,386.02 is: 7,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.13 : 13,610.62 = 5,386.02 : x
  2. Step 2: Convert to fraction form
    9,863.13/13,610.62 = 5,386.02/x
  3. Step 3: Cross multiply
    9,863.13x = 13,610.62 × 5,386.02
  4. Step 4: Simplify right side
    9,863.13x = 73,307,071.53
  5. Step 5: Solve for x
    x = 73,307,071.53/9,863.13
  6. Step 6: Final answer
    x = 7,432.43

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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.