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Finding the Fourth Proportional to 10,944, 15,103.53 and 6,229.80

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Solution

The fourth proportional to 10,944, 15,103.53 and 6,229.80 is: 8,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 15,103.53 = 6,229.80 : x
  2. Step 2: Convert to fraction form
    10,944/15,103.53 = 6,229.80/x
  3. Step 3: Cross multiply
    10,944x = 15,103.53 × 6,229.80
  4. Step 4: Simplify right side
    10,944x = 94,091,971.19
  5. Step 5: Solve for x
    x = 94,091,971.19/10,944
  6. Step 6: Final answer
    x = 8,597.59

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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.