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Finding the Fourth Proportional to 2,959.97, 4,416.14 and 2,820.65

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Solution

The fourth proportional to 2,959.97, 4,416.14 and 2,820.65 is: 4,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.97 : 4,416.14 = 2,820.65 : x
  2. Step 2: Convert to fraction form
    2,959.97/4,416.14 = 2,820.65/x
  3. Step 3: Cross multiply
    2,959.97x = 4,416.14 × 2,820.65
  4. Step 4: Simplify right side
    2,959.97x = 12,456,370.26
  5. Step 5: Solve for x
    x = 12,456,370.26/2,959.97
  6. Step 6: Final answer
    x = 4,208.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.