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Finding the Fourth Proportional to 2,388.50, 3,290.25 and 2,033.28

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Solution

The fourth proportional to 2,388.50, 3,290.25 and 2,033.28 is: 2,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.50 : 3,290.25 = 2,033.28 : x
  2. Step 2: Convert to fraction form
    2,388.50/3,290.25 = 2,033.28/x
  3. Step 3: Cross multiply
    2,388.50x = 3,290.25 × 2,033.28
  4. Step 4: Simplify right side
    2,388.50x = 6,689,999.52
  5. Step 5: Solve for x
    x = 6,689,999.52/2,388.50
  6. Step 6: Final answer
    x = 2,800.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.