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Finding the Fourth Proportional to 2,945.76, 4,064.76 and 1,687.02

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Solution

The fourth proportional to 2,945.76, 4,064.76 and 1,687.02 is: 2,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.76 : 4,064.76 = 1,687.02 : x
  2. Step 2: Convert to fraction form
    2,945.76/4,064.76 = 1,687.02/x
  3. Step 3: Cross multiply
    2,945.76x = 4,064.76 × 1,687.02
  4. Step 4: Simplify right side
    2,945.76x = 6,857,331.42
  5. Step 5: Solve for x
    x = 6,857,331.42/2,945.76
  6. Step 6: Final answer
    x = 2,327.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.