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Finding the Fourth Proportional to 2,262.74, 3,384.75 and 2,124.50

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Solution

The fourth proportional to 2,262.74, 3,384.75 and 2,124.50 is: 3,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.74 : 3,384.75 = 2,124.50 : x
  2. Step 2: Convert to fraction form
    2,262.74/3,384.75 = 2,124.50/x
  3. Step 3: Cross multiply
    2,262.74x = 3,384.75 × 2,124.50
  4. Step 4: Simplify right side
    2,262.74x = 7,190,901.38
  5. Step 5: Solve for x
    x = 7,190,901.38/2,262.74
  6. Step 6: Final answer
    x = 3,177.96

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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.