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Finding the Fourth Proportional to 2,049.74, 3,074.62 and 510.74

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Solution

The fourth proportional to 2,049.74, 3,074.62 and 510.74 is: 766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.74 : 3,074.62 = 510.74 : x
  2. Step 2: Convert to fraction form
    2,049.74/3,074.62 = 510.74/x
  3. Step 3: Cross multiply
    2,049.74x = 3,074.62 × 510.74
  4. Step 4: Simplify right side
    2,049.74x = 1,570,331.42
  5. Step 5: Solve for x
    x = 1,570,331.42/2,049.74
  6. Step 6: Final answer
    x = 766.11

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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.