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Finding the Fourth Proportional to 8,237.54, 11,356.80 and 6,815.99

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Solution

The fourth proportional to 8,237.54, 11,356.80 and 6,815.99 is: 9,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.54 : 11,356.80 = 6,815.99 : x
  2. Step 2: Convert to fraction form
    8,237.54/11,356.80 = 6,815.99/x
  3. Step 3: Cross multiply
    8,237.54x = 11,356.80 × 6,815.99
  4. Step 4: Simplify right side
    8,237.54x = 77,407,835.23
  5. Step 5: Solve for x
    x = 77,407,835.23/8,237.54
  6. Step 6: Final answer
    x = 9,396.96

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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.