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Finding the Fourth Proportional to 2,807.75, 3,875.91 and 1,760.42

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Solution

The fourth proportional to 2,807.75, 3,875.91 and 1,760.42 is: 2,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.75 : 3,875.91 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    2,807.75/3,875.91 = 1,760.42/x
  3. Step 3: Cross multiply
    2,807.75x = 3,875.91 × 1,760.42
  4. Step 4: Simplify right side
    2,807.75x = 6,823,229.48
  5. Step 5: Solve for x
    x = 6,823,229.48/2,807.75
  6. Step 6: Final answer
    x = 2,430.14

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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.