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Finding the Fourth Proportional to 2,331.81, 3,496.65 and 687.78

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Solution

The fourth proportional to 2,331.81, 3,496.65 and 687.78 is: 1,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.81 : 3,496.65 = 687.78 : x
  2. Step 2: Convert to fraction form
    2,331.81/3,496.65 = 687.78/x
  3. Step 3: Cross multiply
    2,331.81x = 3,496.65 × 687.78
  4. Step 4: Simplify right side
    2,331.81x = 2,404,925.94
  5. Step 5: Solve for x
    x = 2,404,925.94/2,331.81
  6. Step 6: Final answer
    x = 1,031.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.