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Finding the Fourth Proportional to 1,855.58, 2,781.51 and 928.31

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Solution

The fourth proportional to 1,855.58, 2,781.51 and 928.31 is: 1,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.58 : 2,781.51 = 928.31 : x
  2. Step 2: Convert to fraction form
    1,855.58/2,781.51 = 928.31/x
  3. Step 3: Cross multiply
    1,855.58x = 2,781.51 × 928.31
  4. Step 4: Simplify right side
    1,855.58x = 2,582,091.38
  5. Step 5: Solve for x
    x = 2,582,091.38/1,855.58
  6. Step 6: Final answer
    x = 1,391.53

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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.