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Finding the Fourth Proportional to 2,729.96, 4,095.08 and 782.18

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Solution

The fourth proportional to 2,729.96, 4,095.08 and 782.18 is: 1,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.96 : 4,095.08 = 782.18 : x
  2. Step 2: Convert to fraction form
    2,729.96/4,095.08 = 782.18/x
  3. Step 3: Cross multiply
    2,729.96x = 4,095.08 × 782.18
  4. Step 4: Simplify right side
    2,729.96x = 3,203,065.29
  5. Step 5: Solve for x
    x = 3,203,065.29/2,729.96
  6. Step 6: Final answer
    x = 1,173.30

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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.