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Finding the Fourth Proportional to 3,480.40, 5,216.40 and 1,288

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Solution

The fourth proportional to 3,480.40, 5,216.40 and 1,288 is: 1,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.40 : 5,216.40 = 1,288 : x
  2. Step 2: Convert to fraction form
    3,480.40/5,216.40 = 1,288/x
  3. Step 3: Cross multiply
    3,480.40x = 5,216.40 × 1,288
  4. Step 4: Simplify right side
    3,480.40x = 6,718,723.20
  5. Step 5: Solve for x
    x = 6,718,723.20/3,480.40
  6. Step 6: Final answer
    x = 1,930.45

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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.