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Finding the Fourth Proportional to 8,011.20, 12,076.90 and 7,476

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Solution

The fourth proportional to 8,011.20, 12,076.90 and 7,476 is: 11,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.20 : 12,076.90 = 7,476 : x
  2. Step 2: Convert to fraction form
    8,011.20/12,076.90 = 7,476/x
  3. Step 3: Cross multiply
    8,011.20x = 12,076.90 × 7,476
  4. Step 4: Simplify right side
    8,011.20x = 90,286,904.40
  5. Step 5: Solve for x
    x = 90,286,904.40/8,011.20
  6. Step 6: Final answer
    x = 11,270.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.