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Finding the Fourth Proportional to 8,935.41, 12,322.79 and 5,578.53

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Solution

The fourth proportional to 8,935.41, 12,322.79 and 5,578.53 is: 7,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.41 : 12,322.79 = 5,578.53 : x
  2. Step 2: Convert to fraction form
    8,935.41/12,322.79 = 5,578.53/x
  3. Step 3: Cross multiply
    8,935.41x = 12,322.79 × 5,578.53
  4. Step 4: Simplify right side
    8,935.41x = 68,743,053.70
  5. Step 5: Solve for x
    x = 68,743,053.70/8,935.41
  6. Step 6: Final answer
    x = 7,693.33

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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.