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Finding the Fourth Proportional to 7,873.84, 11,753.16 and 6,939.70

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Solution

The fourth proportional to 7,873.84, 11,753.16 and 6,939.70 is: 10,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.84 : 11,753.16 = 6,939.70 : x
  2. Step 2: Convert to fraction form
    7,873.84/11,753.16 = 6,939.70/x
  3. Step 3: Cross multiply
    7,873.84x = 11,753.16 × 6,939.70
  4. Step 4: Simplify right side
    7,873.84x = 81,563,404.45
  5. Step 5: Solve for x
    x = 81,563,404.45/7,873.84
  6. Step 6: Final answer
    x = 10,358.78

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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.