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Finding the Fourth Proportional to 12,303.76, 18,458.36 and 3,538

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Solution

The fourth proportional to 12,303.76, 18,458.36 and 3,538 is: 5,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.76 : 18,458.36 = 3,538 : x
  2. Step 2: Convert to fraction form
    12,303.76/18,458.36 = 3,538/x
  3. Step 3: Cross multiply
    12,303.76x = 18,458.36 × 3,538
  4. Step 4: Simplify right side
    12,303.76x = 65,305,677.68
  5. Step 5: Solve for x
    x = 65,305,677.68/12,303.76
  6. Step 6: Final answer
    x = 5,307.78

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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.