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Finding the Fourth Proportional to 6,864.78, 9,480.12 and 5,864.22

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Solution

The fourth proportional to 6,864.78, 9,480.12 and 5,864.22 is: 8,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.78 : 9,480.12 = 5,864.22 : x
  2. Step 2: Convert to fraction form
    6,864.78/9,480.12 = 5,864.22/x
  3. Step 3: Cross multiply
    6,864.78x = 9,480.12 × 5,864.22
  4. Step 4: Simplify right side
    6,864.78x = 55,593,509.31
  5. Step 5: Solve for x
    x = 55,593,509.31/6,864.78
  6. Step 6: Final answer
    x = 8,098.37

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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.