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Finding the Fourth Proportional to 2,304.71, 3,180.54 and 1,256.77

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Solution

The fourth proportional to 2,304.71, 3,180.54 and 1,256.77 is: 1,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.71 : 3,180.54 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    2,304.71/3,180.54 = 1,256.77/x
  3. Step 3: Cross multiply
    2,304.71x = 3,180.54 × 1,256.77
  4. Step 4: Simplify right side
    2,304.71x = 3,997,199.30
  5. Step 5: Solve for x
    x = 3,997,199.30/2,304.71
  6. Step 6: Final answer
    x = 1,734.36

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Half scale
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Double scale
Find fourth proportional to 2,305.71, 3,181.92 and 1,257.77
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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.