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Finding the Fourth Proportional to 2,530.75, 3,796.12 and 1,946.79

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Solution

The fourth proportional to 2,530.75, 3,796.12 and 1,946.79 is: 2,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.75 : 3,796.12 = 1,946.79 : x
  2. Step 2: Convert to fraction form
    2,530.75/3,796.12 = 1,946.79/x
  3. Step 3: Cross multiply
    2,530.75x = 3,796.12 × 1,946.79
  4. Step 4: Simplify right side
    2,530.75x = 7,390,248.45
  5. Step 5: Solve for x
    x = 7,390,248.45/2,530.75
  6. Step 6: Final answer
    x = 2,920.18

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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.