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Finding the Fourth Proportional to 2,046.90, 3,070.77 and 748.35

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Solution

The fourth proportional to 2,046.90, 3,070.77 and 748.35 is: 1,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.90 : 3,070.77 = 748.35 : x
  2. Step 2: Convert to fraction form
    2,046.90/3,070.77 = 748.35/x
  3. Step 3: Cross multiply
    2,046.90x = 3,070.77 × 748.35
  4. Step 4: Simplify right side
    2,046.90x = 2,298,010.73
  5. Step 5: Solve for x
    x = 2,298,010.73/2,046.90
  6. Step 6: Final answer
    x = 1,122.68

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1.5x scale

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.