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Finding the Fourth Proportional to 7,029.78, 9,700.68 and 3,885.78

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Solution

The fourth proportional to 7,029.78, 9,700.68 and 3,885.78 is: 5,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.78 : 9,700.68 = 3,885.78 : x
  2. Step 2: Convert to fraction form
    7,029.78/9,700.68 = 3,885.78/x
  3. Step 3: Cross multiply
    7,029.78x = 9,700.68 × 3,885.78
  4. Step 4: Simplify right side
    7,029.78x = 37,694,708.33
  5. Step 5: Solve for x
    x = 37,694,708.33/7,029.78
  6. Step 6: Final answer
    x = 5,362.15

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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.