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Finding the Fourth Proportional to 8,356.30, 12,509.83 and 6,174.78

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Solution

The fourth proportional to 8,356.30, 12,509.83 and 6,174.78 is: 9,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.30 : 12,509.83 = 6,174.78 : x
  2. Step 2: Convert to fraction form
    8,356.30/12,509.83 = 6,174.78/x
  3. Step 3: Cross multiply
    8,356.30x = 12,509.83 × 6,174.78
  4. Step 4: Simplify right side
    8,356.30x = 77,245,448.09
  5. Step 5: Solve for x
    x = 77,245,448.09/8,356.30
  6. Step 6: Final answer
    x = 9,243.98

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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.