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Finding the Fourth Proportional to 7,550.80, 10,420.17 and 4,406.38

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Solution

The fourth proportional to 7,550.80, 10,420.17 and 4,406.38 is: 6,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.80 : 10,420.17 = 4,406.38 : x
  2. Step 2: Convert to fraction form
    7,550.80/10,420.17 = 4,406.38/x
  3. Step 3: Cross multiply
    7,550.80x = 10,420.17 × 4,406.38
  4. Step 4: Simplify right side
    7,550.80x = 45,915,228.68
  5. Step 5: Solve for x
    x = 45,915,228.68/7,550.80
  6. Step 6: Final answer
    x = 6,080.84

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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.