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Finding the Fourth Proportional to 6,898.16, 9,520.54 and 3,913.38

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Solution

The fourth proportional to 6,898.16, 9,520.54 and 3,913.38 is: 5,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.16 : 9,520.54 = 3,913.38 : x
  2. Step 2: Convert to fraction form
    6,898.16/9,520.54 = 3,913.38/x
  3. Step 3: Cross multiply
    6,898.16x = 9,520.54 × 3,913.38
  4. Step 4: Simplify right side
    6,898.16x = 37,257,481.04
  5. Step 5: Solve for x
    x = 37,257,481.04/6,898.16
  6. Step 6: Final answer
    x = 5,401.07

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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.