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Finding the Fourth Proportional to 2,309.97, 3,462.90 and 848.78

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Solution

The fourth proportional to 2,309.97, 3,462.90 and 848.78 is: 1,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.97 : 3,462.90 = 848.78 : x
  2. Step 2: Convert to fraction form
    2,309.97/3,462.90 = 848.78/x
  3. Step 3: Cross multiply
    2,309.97x = 3,462.90 × 848.78
  4. Step 4: Simplify right side
    2,309.97x = 2,939,240.26
  5. Step 5: Solve for x
    x = 2,939,240.26/2,309.97
  6. Step 6: Final answer
    x = 1,272.41

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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.