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Finding the Fourth Proportional to 7,678.57, 11,502.57 and 5,917.43

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Solution

The fourth proportional to 7,678.57, 11,502.57 and 5,917.43 is: 8,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.57 : 11,502.57 = 5,917.43 : x
  2. Step 2: Convert to fraction form
    7,678.57/11,502.57 = 5,917.43/x
  3. Step 3: Cross multiply
    7,678.57x = 11,502.57 × 5,917.43
  4. Step 4: Simplify right side
    7,678.57x = 68,065,652.80
  5. Step 5: Solve for x
    x = 68,065,652.80/7,678.57
  6. Step 6: Final answer
    x = 8,864.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.