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Finding the Fourth Proportional to 6,842.94, 9,482.28 and 6,426.78

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Solution

The fourth proportional to 6,842.94, 9,482.28 and 6,426.78 is: 8,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.94 : 9,482.28 = 6,426.78 : x
  2. Step 2: Convert to fraction form
    6,842.94/9,482.28 = 6,426.78/x
  3. Step 3: Cross multiply
    6,842.94x = 9,482.28 × 6,426.78
  4. Step 4: Simplify right side
    6,842.94x = 60,940,527.46
  5. Step 5: Solve for x
    x = 60,940,527.46/6,842.94
  6. Step 6: Final answer
    x = 8,905.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.