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Finding the Fourth Proportional to 2,762.48, 4,143.56 and 682.38

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Solution

The fourth proportional to 2,762.48, 4,143.56 and 682.38 is: 1,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.48 : 4,143.56 = 682.38 : x
  2. Step 2: Convert to fraction form
    2,762.48/4,143.56 = 682.38/x
  3. Step 3: Cross multiply
    2,762.48x = 4,143.56 × 682.38
  4. Step 4: Simplify right side
    2,762.48x = 2,827,482.47
  5. Step 5: Solve for x
    x = 2,827,482.47/2,762.48
  6. Step 6: Final answer
    x = 1,023.53

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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.