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Finding the Fourth Proportional to 1,887.85, 2,846.25 and 1,760.80

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Solution

The fourth proportional to 1,887.85, 2,846.25 and 1,760.80 is: 2,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.85 : 2,846.25 = 1,760.80 : x
  2. Step 2: Convert to fraction form
    1,887.85/2,846.25 = 1,760.80/x
  3. Step 3: Cross multiply
    1,887.85x = 2,846.25 × 1,760.80
  4. Step 4: Simplify right side
    1,887.85x = 5,011,677
  5. Step 5: Solve for x
    x = 5,011,677/1,887.85
  6. Step 6: Final answer
    x = 2,654.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.