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Finding the Fourth Proportional to 9,893.18, 13,638.16 and 7,531.22

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Solution

The fourth proportional to 9,893.18, 13,638.16 and 7,531.22 is: 10,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.18 : 13,638.16 = 7,531.22 : x
  2. Step 2: Convert to fraction form
    9,893.18/13,638.16 = 7,531.22/x
  3. Step 3: Cross multiply
    9,893.18x = 13,638.16 × 7,531.22
  4. Step 4: Simplify right side
    9,893.18x = 102,711,983.36
  5. Step 5: Solve for x
    x = 102,711,983.36/9,893.18
  6. Step 6: Final answer
    x = 10,382.10

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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.