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Finding the Fourth Proportional to 5,488.69, 8,233.03 and 1,540.30

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Solution

The fourth proportional to 5,488.69, 8,233.03 and 1,540.30 is: 2,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.69 : 8,233.03 = 1,540.30 : x
  2. Step 2: Convert to fraction form
    5,488.69/8,233.03 = 1,540.30/x
  3. Step 3: Cross multiply
    5,488.69x = 8,233.03 × 1,540.30
  4. Step 4: Simplify right side
    5,488.69x = 12,681,313.36
  5. Step 5: Solve for x
    x = 12,681,313.36/5,488.69
  6. Step 6: Final answer
    x = 2,310.45

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1.5x scale

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.