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Finding the Fourth Proportional to 2,631.51, 3,946.95 and 782.61

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Solution

The fourth proportional to 2,631.51, 3,946.95 and 782.61 is: 1,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.51 : 3,946.95 = 782.61 : x
  2. Step 2: Convert to fraction form
    2,631.51/3,946.95 = 782.61/x
  3. Step 3: Cross multiply
    2,631.51x = 3,946.95 × 782.61
  4. Step 4: Simplify right side
    2,631.51x = 3,088,922.54
  5. Step 5: Solve for x
    x = 3,088,922.54/2,631.51
  6. Step 6: Final answer
    x = 1,173.82

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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.