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Finding the Fourth Proportional to 2,284.84, 3,426.98 and 641.52

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Solution

The fourth proportional to 2,284.84, 3,426.98 and 641.52 is: 962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.84 : 3,426.98 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,284.84/3,426.98 = 641.52/x
  3. Step 3: Cross multiply
    2,284.84x = 3,426.98 × 641.52
  4. Step 4: Simplify right side
    2,284.84x = 2,198,476.21
  5. Step 5: Solve for x
    x = 2,198,476.21/2,284.84
  6. Step 6: Final answer
    x = 962.20

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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.