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Finding the Fourth Proportional to 2,331.52, 3,497.34 and 870.38

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Solution

The fourth proportional to 2,331.52, 3,497.34 and 870.38 is: 1,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.52 : 3,497.34 = 870.38 : x
  2. Step 2: Convert to fraction form
    2,331.52/3,497.34 = 870.38/x
  3. Step 3: Cross multiply
    2,331.52x = 3,497.34 × 870.38
  4. Step 4: Simplify right side
    2,331.52x = 3,044,013.68
  5. Step 5: Solve for x
    x = 3,044,013.68/2,331.52
  6. Step 6: Final answer
    x = 1,305.59

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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.