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Finding the Fourth Proportional to 8,578.71, 11,839.87 and 5,223.49

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Solution

The fourth proportional to 8,578.71, 11,839.87 and 5,223.49 is: 7,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.71 : 11,839.87 = 5,223.49 : x
  2. Step 2: Convert to fraction form
    8,578.71/11,839.87 = 5,223.49/x
  3. Step 3: Cross multiply
    8,578.71x = 11,839.87 × 5,223.49
  4. Step 4: Simplify right side
    8,578.71x = 61,845,419.48
  5. Step 5: Solve for x
    x = 61,845,419.48/8,578.71
  6. Step 6: Final answer
    x = 7,209.17

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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.