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Finding the Fourth Proportional to 10,981, 15,153.79 and 6,266.80

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Solution

The fourth proportional to 10,981, 15,153.79 and 6,266.80 is: 8,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981 : 15,153.79 = 6,266.80 : x
  2. Step 2: Convert to fraction form
    10,981/15,153.79 = 6,266.80/x
  3. Step 3: Cross multiply
    10,981x = 15,153.79 × 6,266.80
  4. Step 4: Simplify right side
    10,981x = 94,965,771.17
  5. Step 5: Solve for x
    x = 94,965,771.17/10,981
  6. Step 6: Final answer
    x = 8,648.19

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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.