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Finding the Fourth Proportional to 2,697.81, 4,046.71 and 1,952.86

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Solution

The fourth proportional to 2,697.81, 4,046.71 and 1,952.86 is: 2,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.81 : 4,046.71 = 1,952.86 : x
  2. Step 2: Convert to fraction form
    2,697.81/4,046.71 = 1,952.86/x
  3. Step 3: Cross multiply
    2,697.81x = 4,046.71 × 1,952.86
  4. Step 4: Simplify right side
    2,697.81x = 7,902,654.34
  5. Step 5: Solve for x
    x = 7,902,654.34/2,697.81
  6. Step 6: Final answer
    x = 2,929.29

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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.