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Finding the Fourth Proportional to 15,696, 21,661.29 and 9,408.78

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Solution

The fourth proportional to 15,696, 21,661.29 and 9,408.78 is: 12,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 21,661.29 = 9,408.78 : x
  2. Step 2: Convert to fraction form
    15,696/21,661.29 = 9,408.78/x
  3. Step 3: Cross multiply
    15,696x = 21,661.29 × 9,408.78
  4. Step 4: Simplify right side
    15,696x = 203,806,312.13
  5. Step 5: Solve for x
    x = 203,806,312.13/15,696
  6. Step 6: Final answer
    x = 12,984.60

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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.