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Finding the Fourth Proportional to 10,192.90, 15,289.71 and 3,266.50

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Solution

The fourth proportional to 10,192.90, 15,289.71 and 3,266.50 is: 4,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.90 : 15,289.71 = 3,266.50 : x
  2. Step 2: Convert to fraction form
    10,192.90/15,289.71 = 3,266.50/x
  3. Step 3: Cross multiply
    10,192.90x = 15,289.71 × 3,266.50
  4. Step 4: Simplify right side
    10,192.90x = 49,943,837.72
  5. Step 5: Solve for x
    x = 49,943,837.72/10,192.90
  6. Step 6: Final answer
    x = 4,899.87

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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.