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Finding the Fourth Proportional to 10,110, 13,953.24 and 9,667.20

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Solution

The fourth proportional to 10,110, 13,953.24 and 9,667.20 is: 13,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110 : 13,953.24 = 9,667.20 : x
  2. Step 2: Convert to fraction form
    10,110/13,953.24 = 9,667.20/x
  3. Step 3: Cross multiply
    10,110x = 13,953.24 × 9,667.20
  4. Step 4: Simplify right side
    10,110x = 134,888,761.73
  5. Step 5: Solve for x
    x = 134,888,761.73/10,110
  6. Step 6: Final answer
    x = 13,342.11

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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.