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Finding the Fourth Proportional to 1,951.62, 2,925.84 and 855.15

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Solution

The fourth proportional to 1,951.62, 2,925.84 and 855.15 is: 1,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.62 : 2,925.84 = 855.15 : x
  2. Step 2: Convert to fraction form
    1,951.62/2,925.84 = 855.15/x
  3. Step 3: Cross multiply
    1,951.62x = 2,925.84 × 855.15
  4. Step 4: Simplify right side
    1,951.62x = 2,502,032.08
  5. Step 5: Solve for x
    x = 2,502,032.08/1,951.62
  6. Step 6: Final answer
    x = 1,282.03

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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.