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Finding the Fourth Proportional to 10,245, 15,364.07 and 4,003.39

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Solution

The fourth proportional to 10,245, 15,364.07 and 4,003.39 is: 6,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245 : 15,364.07 = 4,003.39 : x
  2. Step 2: Convert to fraction form
    10,245/15,364.07 = 4,003.39/x
  3. Step 3: Cross multiply
    10,245x = 15,364.07 × 4,003.39
  4. Step 4: Simplify right side
    10,245x = 61,508,364.20
  5. Step 5: Solve for x
    x = 61,508,364.20/10,245
  6. Step 6: Final answer
    x = 6,003.74

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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.