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Finding the Fourth Proportional to 8,070.94, 12,063.14 and 7,278.50

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Solution

The fourth proportional to 8,070.94, 12,063.14 and 7,278.50 is: 10,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.94 : 12,063.14 = 7,278.50 : x
  2. Step 2: Convert to fraction form
    8,070.94/12,063.14 = 7,278.50/x
  3. Step 3: Cross multiply
    8,070.94x = 12,063.14 × 7,278.50
  4. Step 4: Simplify right side
    8,070.94x = 87,801,564.49
  5. Step 5: Solve for x
    x = 87,801,564.49/8,070.94
  6. Step 6: Final answer
    x = 10,878.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.