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Finding the Fourth Proportional to 2,331.46, 3,497.71 and 771.95

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Solution

The fourth proportional to 2,331.46, 3,497.71 and 771.95 is: 1,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.46 : 3,497.71 = 771.95 : x
  2. Step 2: Convert to fraction form
    2,331.46/3,497.71 = 771.95/x
  3. Step 3: Cross multiply
    2,331.46x = 3,497.71 × 771.95
  4. Step 4: Simplify right side
    2,331.46x = 2,700,053.37
  5. Step 5: Solve for x
    x = 2,700,053.37/2,331.46
  6. Step 6: Final answer
    x = 1,158.10

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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.