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Finding the Fourth Proportional to 2,304.74, 3,179.70 and 1,420.22

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Solution

The fourth proportional to 2,304.74, 3,179.70 and 1,420.22 is: 1,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.74 : 3,179.70 = 1,420.22 : x
  2. Step 2: Convert to fraction form
    2,304.74/3,179.70 = 1,420.22/x
  3. Step 3: Cross multiply
    2,304.74x = 3,179.70 × 1,420.22
  4. Step 4: Simplify right side
    2,304.74x = 4,515,857.64
  5. Step 5: Solve for x
    x = 4,515,857.64/2,304.74
  6. Step 6: Final answer
    x = 1,959.38

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Find fourth proportional to 2,305.74, 3,181.08 and 1,421.22
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1.5x scale

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.