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Finding the Fourth Proportional to 10,512.10, 15,743.31 and 8,838.10

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Solution

The fourth proportional to 10,512.10, 15,743.31 and 8,838.10 is: 13,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.10 : 15,743.31 = 8,838.10 : x
  2. Step 2: Convert to fraction form
    10,512.10/15,743.31 = 8,838.10/x
  3. Step 3: Cross multiply
    10,512.10x = 15,743.31 × 8,838.10
  4. Step 4: Simplify right side
    10,512.10x = 139,140,948.11
  5. Step 5: Solve for x
    x = 139,140,948.11/10,512.10
  6. Step 6: Final answer
    x = 13,236.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.