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Finding the Fourth Proportional to 3,062.08, 4,587.18 and 1,830.46

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Solution

The fourth proportional to 3,062.08, 4,587.18 and 1,830.46 is: 2,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.08 : 4,587.18 = 1,830.46 : x
  2. Step 2: Convert to fraction form
    3,062.08/4,587.18 = 1,830.46/x
  3. Step 3: Cross multiply
    3,062.08x = 4,587.18 × 1,830.46
  4. Step 4: Simplify right side
    3,062.08x = 8,396,649.50
  5. Step 5: Solve for x
    x = 8,396,649.50/3,062.08
  6. Step 6: Final answer
    x = 2,742.14

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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.