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Finding the Fourth Proportional to 7,817.74, 10,788.05 and 4,280.27

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Solution

The fourth proportional to 7,817.74, 10,788.05 and 4,280.27 is: 5,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.74 : 10,788.05 = 4,280.27 : x
  2. Step 2: Convert to fraction form
    7,817.74/10,788.05 = 4,280.27/x
  3. Step 3: Cross multiply
    7,817.74x = 10,788.05 × 4,280.27
  4. Step 4: Simplify right side
    7,817.74x = 46,175,723.53
  5. Step 5: Solve for x
    x = 46,175,723.53/7,817.74
  6. Step 6: Final answer
    x = 5,906.53

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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.