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Finding the Fourth Proportional to 5,578.24, 7,734.76 and 5,393.20

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Solution

The fourth proportional to 5,578.24, 7,734.76 and 5,393.20 is: 7,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.24 : 7,734.76 = 5,393.20 : x
  2. Step 2: Convert to fraction form
    5,578.24/7,734.76 = 5,393.20/x
  3. Step 3: Cross multiply
    5,578.24x = 7,734.76 × 5,393.20
  4. Step 4: Simplify right side
    5,578.24x = 41,715,107.63
  5. Step 5: Solve for x
    x = 41,715,107.63/5,578.24
  6. Step 6: Final answer
    x = 7,478.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.