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Finding the Fourth Proportional to 2,562.99, 3,839.63 and 1,978.98

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Solution

The fourth proportional to 2,562.99, 3,839.63 and 1,978.98 is: 2,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.99 : 3,839.63 = 1,978.98 : x
  2. Step 2: Convert to fraction form
    2,562.99/3,839.63 = 1,978.98/x
  3. Step 3: Cross multiply
    2,562.99x = 3,839.63 × 1,978.98
  4. Step 4: Simplify right side
    2,562.99x = 7,598,541.08
  5. Step 5: Solve for x
    x = 7,598,541.08/2,562.99
  6. Step 6: Final answer
    x = 2,964.72

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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.