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Finding the Fourth Proportional to 2,030.76, 3,046.12 and 491.76

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Solution

The fourth proportional to 2,030.76, 3,046.12 and 491.76 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.76 : 3,046.12 = 491.76 : x
  2. Step 2: Convert to fraction form
    2,030.76/3,046.12 = 491.76/x
  3. Step 3: Cross multiply
    2,030.76x = 3,046.12 × 491.76
  4. Step 4: Simplify right side
    2,030.76x = 1,497,959.97
  5. Step 5: Solve for x
    x = 1,497,959.97/2,030.76
  6. Step 6: Final answer
    x = 737.64

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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.