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Finding the Fourth Proportional to 5,442.78, 7,509.78 and 3,317.70

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Solution

The fourth proportional to 5,442.78, 7,509.78 and 3,317.70 is: 4,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.78 : 7,509.78 = 3,317.70 : x
  2. Step 2: Convert to fraction form
    5,442.78/7,509.78 = 3,317.70/x
  3. Step 3: Cross multiply
    5,442.78x = 7,509.78 × 3,317.70
  4. Step 4: Simplify right side
    5,442.78x = 24,915,197.11
  5. Step 5: Solve for x
    x = 24,915,197.11/5,442.78
  6. Step 6: Final answer
    x = 4,577.66

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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.