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Finding the Fourth Proportional to 1,888.62, 2,827.80 and 1,478.49

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Solution

The fourth proportional to 1,888.62, 2,827.80 and 1,478.49 is: 2,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.62 : 2,827.80 = 1,478.49 : x
  2. Step 2: Convert to fraction form
    1,888.62/2,827.80 = 1,478.49/x
  3. Step 3: Cross multiply
    1,888.62x = 2,827.80 × 1,478.49
  4. Step 4: Simplify right side
    1,888.62x = 4,180,874.02
  5. Step 5: Solve for x
    x = 4,180,874.02/1,888.62
  6. Step 6: Final answer
    x = 2,213.72

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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.