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Finding the Fourth Proportional to 2,810.84, 4,216.20 and 730.65

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Solution

The fourth proportional to 2,810.84, 4,216.20 and 730.65 is: 1,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.84 : 4,216.20 = 730.65 : x
  2. Step 2: Convert to fraction form
    2,810.84/4,216.20 = 730.65/x
  3. Step 3: Cross multiply
    2,810.84x = 4,216.20 × 730.65
  4. Step 4: Simplify right side
    2,810.84x = 3,080,566.53
  5. Step 5: Solve for x
    x = 3,080,566.53/2,810.84
  6. Step 6: Final answer
    x = 1,095.96

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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.