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Finding the Fourth Proportional to 6,762.75, 9,339.02 and 6,394.61

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Solution

The fourth proportional to 6,762.75, 9,339.02 and 6,394.61 is: 8,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.75 : 9,339.02 = 6,394.61 : x
  2. Step 2: Convert to fraction form
    6,762.75/9,339.02 = 6,394.61/x
  3. Step 3: Cross multiply
    6,762.75x = 9,339.02 × 6,394.61
  4. Step 4: Simplify right side
    6,762.75x = 59,719,390.68
  5. Step 5: Solve for x
    x = 59,719,390.68/6,762.75
  6. Step 6: Final answer
    x = 8,830.64

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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.