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Finding the Fourth Proportional to 7,822.78, 10,718.12 and 7,713.43

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Solution

The fourth proportional to 7,822.78, 10,718.12 and 7,713.43 is: 10,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.78 : 10,718.12 = 7,713.43 : x
  2. Step 2: Convert to fraction form
    7,822.78/10,718.12 = 7,713.43/x
  3. Step 3: Cross multiply
    7,822.78x = 10,718.12 × 7,713.43
  4. Step 4: Simplify right side
    7,822.78x = 82,673,460.84
  5. Step 5: Solve for x
    x = 82,673,460.84/7,822.78
  6. Step 6: Final answer
    x = 10,568.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.