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Finding the Fourth Proportional to 10,112, 13,956 and 9,669.20

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Solution

The fourth proportional to 10,112, 13,956 and 9,669.20 is: 13,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112 : 13,956 = 9,669.20 : x
  2. Step 2: Convert to fraction form
    10,112/13,956 = 9,669.20/x
  3. Step 3: Cross multiply
    10,112x = 13,956 × 9,669.20
  4. Step 4: Simplify right side
    10,112x = 134,943,355.20
  5. Step 5: Solve for x
    x = 134,943,355.20/10,112
  6. Step 6: Final answer
    x = 13,344.87

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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.