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Finding the Fourth Proportional to 2,049.86, 3,074.82 and 510.86

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Solution

The fourth proportional to 2,049.86, 3,074.82 and 510.86 is: 766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.86 : 3,074.82 = 510.86 : x
  2. Step 2: Convert to fraction form
    2,049.86/3,074.82 = 510.86/x
  3. Step 3: Cross multiply
    2,049.86x = 3,074.82 × 510.86
  4. Step 4: Simplify right side
    2,049.86x = 1,570,802.55
  5. Step 5: Solve for x
    x = 1,570,802.55/2,049.86
  6. Step 6: Final answer
    x = 766.30

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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.