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Finding the Fourth Proportional to 21,859.94, 32,788.28 and 8,715.26

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Solution

The fourth proportional to 21,859.94, 32,788.28 and 8,715.26 is: 13,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859.94 : 32,788.28 = 8,715.26 : x
  2. Step 2: Convert to fraction form
    21,859.94/32,788.28 = 8,715.26/x
  3. Step 3: Cross multiply
    21,859.94x = 32,788.28 × 8,715.26
  4. Step 4: Simplify right side
    21,859.94x = 285,758,385.15
  5. Step 5: Solve for x
    x = 285,758,385.15/21,859.94
  6. Step 6: Final answer
    x = 13,072.24

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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.