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Finding the Fourth Proportional to 15,204.84, 20,981.60 and 8,916

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Solution

The fourth proportional to 15,204.84, 20,981.60 and 8,916 is: 12,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.84 : 20,981.60 = 8,916 : x
  2. Step 2: Convert to fraction form
    15,204.84/20,981.60 = 8,916/x
  3. Step 3: Cross multiply
    15,204.84x = 20,981.60 × 8,916
  4. Step 4: Simplify right side
    15,204.84x = 187,071,945.60
  5. Step 5: Solve for x
    x = 187,071,945.60/15,204.84
  6. Step 6: Final answer
    x = 12,303.45

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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.