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Finding the Fourth Proportional to 3,146.76, 4,342.62 and 1,820.88

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Solution

The fourth proportional to 3,146.76, 4,342.62 and 1,820.88 is: 2,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.76 : 4,342.62 = 1,820.88 : x
  2. Step 2: Convert to fraction form
    3,146.76/4,342.62 = 1,820.88/x
  3. Step 3: Cross multiply
    3,146.76x = 4,342.62 × 1,820.88
  4. Step 4: Simplify right side
    3,146.76x = 7,907,389.91
  5. Step 5: Solve for x
    x = 7,907,389.91/3,146.76
  6. Step 6: Final answer
    x = 2,512.87

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Half scale
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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.