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Finding the Fourth Proportional to 7,874.27, 10,866.74 and 4,289.34

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Solution

The fourth proportional to 7,874.27, 10,866.74 and 4,289.34 is: 5,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.27 : 10,866.74 = 4,289.34 : x
  2. Step 2: Convert to fraction form
    7,874.27/10,866.74 = 4,289.34/x
  3. Step 3: Cross multiply
    7,874.27x = 10,866.74 × 4,289.34
  4. Step 4: Simplify right side
    7,874.27x = 46,611,153.27
  5. Step 5: Solve for x
    x = 46,611,153.27/7,874.27
  6. Step 6: Final answer
    x = 5,919.42

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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.