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Finding the Fourth Proportional to 6,426.74, 8,873.15 and 4,942.42

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Solution

The fourth proportional to 6,426.74, 8,873.15 and 4,942.42 is: 6,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.74 : 8,873.15 = 4,942.42 : x
  2. Step 2: Convert to fraction form
    6,426.74/8,873.15 = 4,942.42/x
  3. Step 3: Cross multiply
    6,426.74x = 8,873.15 × 4,942.42
  4. Step 4: Simplify right side
    6,426.74x = 43,854,787.13
  5. Step 5: Solve for x
    x = 43,854,787.13/6,426.74
  6. Step 6: Final answer
    x = 6,823.80

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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.