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Finding the Fourth Proportional to 6,815.28, 9,401.60 and 4,574.24

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Solution

The fourth proportional to 6,815.28, 9,401.60 and 4,574.24 is: 6,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.28 : 9,401.60 = 4,574.24 : x
  2. Step 2: Convert to fraction form
    6,815.28/9,401.60 = 4,574.24/x
  3. Step 3: Cross multiply
    6,815.28x = 9,401.60 × 4,574.24
  4. Step 4: Simplify right side
    6,815.28x = 43,005,174.78
  5. Step 5: Solve for x
    x = 43,005,174.78/6,815.28
  6. Step 6: Final answer
    x = 6,310.11

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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.