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Finding the Fourth Proportional to 3,583.68, 5,373.42 and 1,389.84

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Solution

The fourth proportional to 3,583.68, 5,373.42 and 1,389.84 is: 2,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.68 : 5,373.42 = 1,389.84 : x
  2. Step 2: Convert to fraction form
    3,583.68/5,373.42 = 1,389.84/x
  3. Step 3: Cross multiply
    3,583.68x = 5,373.42 × 1,389.84
  4. Step 4: Simplify right side
    3,583.68x = 7,468,206.73
  5. Step 5: Solve for x
    x = 7,468,206.73/3,583.68
  6. Step 6: Final answer
    x = 2,083.95

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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.