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Finding the Fourth Proportional to 10,405.61, 15,601.11 and 3,830.95

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Solution

The fourth proportional to 10,405.61, 15,601.11 and 3,830.95 is: 5,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.61 : 15,601.11 = 3,830.95 : x
  2. Step 2: Convert to fraction form
    10,405.61/15,601.11 = 3,830.95/x
  3. Step 3: Cross multiply
    10,405.61x = 15,601.11 × 3,830.95
  4. Step 4: Simplify right side
    10,405.61x = 59,767,072.35
  5. Step 5: Solve for x
    x = 59,767,072.35/10,405.61
  6. Step 6: Final answer
    x = 5,743.74

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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.