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Finding the Fourth Proportional to 6,218.78, 9,339.10 and 5,724.09

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Solution

The fourth proportional to 6,218.78, 9,339.10 and 5,724.09 is: 8,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.78 : 9,339.10 = 5,724.09 : x
  2. Step 2: Convert to fraction form
    6,218.78/9,339.10 = 5,724.09/x
  3. Step 3: Cross multiply
    6,218.78x = 9,339.10 × 5,724.09
  4. Step 4: Simplify right side
    6,218.78x = 53,457,834.61
  5. Step 5: Solve for x
    x = 53,457,834.61/6,218.78
  6. Step 6: Final answer
    x = 8,596.20

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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.