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Finding the Fourth Proportional to 10,076.75, 13,912.69 and 9,011.20

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Solution

The fourth proportional to 10,076.75, 13,912.69 and 9,011.20 is: 12,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.75 : 13,912.69 = 9,011.20 : x
  2. Step 2: Convert to fraction form
    10,076.75/13,912.69 = 9,011.20/x
  3. Step 3: Cross multiply
    10,076.75x = 13,912.69 × 9,011.20
  4. Step 4: Simplify right side
    10,076.75x = 125,370,032.13
  5. Step 5: Solve for x
    x = 125,370,032.13/10,076.75
  6. Step 6: Final answer
    x = 12,441.51

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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.