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Finding the Fourth Proportional to 2,762.65, 4,142.76 and 814.47

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Solution

The fourth proportional to 2,762.65, 4,142.76 and 814.47 is: 1,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.65 : 4,142.76 = 814.47 : x
  2. Step 2: Convert to fraction form
    2,762.65/4,142.76 = 814.47/x
  3. Step 3: Cross multiply
    2,762.65x = 4,142.76 × 814.47
  4. Step 4: Simplify right side
    2,762.65x = 3,374,133.02
  5. Step 5: Solve for x
    x = 3,374,133.02/2,762.65
  6. Step 6: Final answer
    x = 1,221.34

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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.