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Finding the Fourth Proportional to 6,957.87, 10,438.10 and 2,798.19

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Solution

The fourth proportional to 6,957.87, 10,438.10 and 2,798.19 is: 4,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.87 : 10,438.10 = 2,798.19 : x
  2. Step 2: Convert to fraction form
    6,957.87/10,438.10 = 2,798.19/x
  3. Step 3: Cross multiply
    6,957.87x = 10,438.10 × 2,798.19
  4. Step 4: Simplify right side
    6,957.87x = 29,207,787.04
  5. Step 5: Solve for x
    x = 29,207,787.04/6,957.87
  6. Step 6: Final answer
    x = 4,197.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.