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Finding the Fourth Proportional to 5,073.84, 7,602 and 3,121.92

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Solution

The fourth proportional to 5,073.84, 7,602 and 3,121.92 is: 4,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.84 : 7,602 = 3,121.92 : x
  2. Step 2: Convert to fraction form
    5,073.84/7,602 = 3,121.92/x
  3. Step 3: Cross multiply
    5,073.84x = 7,602 × 3,121.92
  4. Step 4: Simplify right side
    5,073.84x = 23,732,835.84
  5. Step 5: Solve for x
    x = 23,732,835.84/5,073.84
  6. Step 6: Final answer
    x = 4,677.49

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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.