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Finding the Fourth Proportional to 5,420.54, 7,451.61 and 4,661.54

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Solution

The fourth proportional to 5,420.54, 7,451.61 and 4,661.54 is: 6,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.54 : 7,451.61 = 4,661.54 : x
  2. Step 2: Convert to fraction form
    5,420.54/7,451.61 = 4,661.54/x
  3. Step 3: Cross multiply
    5,420.54x = 7,451.61 × 4,661.54
  4. Step 4: Simplify right side
    5,420.54x = 34,735,978.08
  5. Step 5: Solve for x
    x = 34,735,978.08/5,420.54
  6. Step 6: Final answer
    x = 6,408.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.