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Finding the Fourth Proportional to 2,981.91, 4,473.09 and 790.59

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Solution

The fourth proportional to 2,981.91, 4,473.09 and 790.59 is: 1,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.91 : 4,473.09 = 790.59 : x
  2. Step 2: Convert to fraction form
    2,981.91/4,473.09 = 790.59/x
  3. Step 3: Cross multiply
    2,981.91x = 4,473.09 × 790.59
  4. Step 4: Simplify right side
    2,981.91x = 3,536,397.00
  5. Step 5: Solve for x
    x = 3,536,397.00/2,981.91
  6. Step 6: Final answer
    x = 1,185.95

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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.