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Finding the Fourth Proportional to 2,046.53, 3,070.08 and 747.68

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Solution

The fourth proportional to 2,046.53, 3,070.08 and 747.68 is: 1,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.53 : 3,070.08 = 747.68 : x
  2. Step 2: Convert to fraction form
    2,046.53/3,070.08 = 747.68/x
  3. Step 3: Cross multiply
    2,046.53x = 3,070.08 × 747.68
  4. Step 4: Simplify right side
    2,046.53x = 2,295,437.41
  5. Step 5: Solve for x
    x = 2,295,437.41/2,046.53
  6. Step 6: Final answer
    x = 1,121.62

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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.