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Finding the Fourth Proportional to 9,863.10, 13,611.16 and 5,386.88

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Solution

The fourth proportional to 9,863.10, 13,611.16 and 5,386.88 is: 7,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.10 : 13,611.16 = 5,386.88 : x
  2. Step 2: Convert to fraction form
    9,863.10/13,611.16 = 5,386.88/x
  3. Step 3: Cross multiply
    9,863.10x = 13,611.16 × 5,386.88
  4. Step 4: Simplify right side
    9,863.10x = 73,321,685.58
  5. Step 5: Solve for x
    x = 73,321,685.58/9,863.10
  6. Step 6: Final answer
    x = 7,433.94

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1.5x scale

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.