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Finding the Fourth Proportional to 6,438.75, 9,662.18 and 2,740.97

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Solution

The fourth proportional to 6,438.75, 9,662.18 and 2,740.97 is: 4,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.75 : 9,662.18 = 2,740.97 : x
  2. Step 2: Convert to fraction form
    6,438.75/9,662.18 = 2,740.97/x
  3. Step 3: Cross multiply
    6,438.75x = 9,662.18 × 2,740.97
  4. Step 4: Simplify right side
    6,438.75x = 26,483,730.01
  5. Step 5: Solve for x
    x = 26,483,730.01/6,438.75
  6. Step 6: Final answer
    x = 4,113.18

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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.