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Finding the Fourth Proportional to 5,138.40, 7,695.18 and 2,940.47

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Solution

The fourth proportional to 5,138.40, 7,695.18 and 2,940.47 is: 4,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.40 : 7,695.18 = 2,940.47 : x
  2. Step 2: Convert to fraction form
    5,138.40/7,695.18 = 2,940.47/x
  3. Step 3: Cross multiply
    5,138.40x = 7,695.18 × 2,940.47
  4. Step 4: Simplify right side
    5,138.40x = 22,627,392.76
  5. Step 5: Solve for x
    x = 22,627,392.76/5,138.40
  6. Step 6: Final answer
    x = 4,403.59

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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.