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Finding the Fourth Proportional to 3,588, 5,382.36 and 1,280.40

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Solution

The fourth proportional to 3,588, 5,382.36 and 1,280.40 is: 1,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 5,382.36 = 1,280.40 : x
  2. Step 2: Convert to fraction form
    3,588/5,382.36 = 1,280.40/x
  3. Step 3: Cross multiply
    3,588x = 5,382.36 × 1,280.40
  4. Step 4: Simplify right side
    3,588x = 6,891,573.74
  5. Step 5: Solve for x
    x = 6,891,573.74/3,588
  6. Step 6: Final answer
    x = 1,920.73

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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.