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Finding the Fourth Proportional to 2,208.71, 3,312.39 and 909.88

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Solution

The fourth proportional to 2,208.71, 3,312.39 and 909.88 is: 1,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.71 : 3,312.39 = 909.88 : x
  2. Step 2: Convert to fraction form
    2,208.71/3,312.39 = 909.88/x
  3. Step 3: Cross multiply
    2,208.71x = 3,312.39 × 909.88
  4. Step 4: Simplify right side
    2,208.71x = 3,013,877.41
  5. Step 5: Solve for x
    x = 3,013,877.41/2,208.71
  6. Step 6: Final answer
    x = 1,364.54

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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.