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Finding the Fourth Proportional to 3,046.32, 4,566.20 and 1,290.92

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Solution

The fourth proportional to 3,046.32, 4,566.20 and 1,290.92 is: 1,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.32 : 4,566.20 = 1,290.92 : x
  2. Step 2: Convert to fraction form
    3,046.32/4,566.20 = 1,290.92/x
  3. Step 3: Cross multiply
    3,046.32x = 4,566.20 × 1,290.92
  4. Step 4: Simplify right side
    3,046.32x = 5,894,569.62
  5. Step 5: Solve for x
    x = 5,894,569.62/3,046.32
  6. Step 6: Final answer
    x = 1,934.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.