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Finding the Fourth Proportional to 3,187.84, 4,780.32 and 1,872.22

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Solution

The fourth proportional to 3,187.84, 4,780.32 and 1,872.22 is: 2,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.84 : 4,780.32 = 1,872.22 : x
  2. Step 2: Convert to fraction form
    3,187.84/4,780.32 = 1,872.22/x
  3. Step 3: Cross multiply
    3,187.84x = 4,780.32 × 1,872.22
  4. Step 4: Simplify right side
    3,187.84x = 8,949,810.71
  5. Step 5: Solve for x
    x = 8,949,810.71/3,187.84
  6. Step 6: Final answer
    x = 2,807.48

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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.