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Finding the Fourth Proportional to 10,272.12, 15,409.80 and 3,345

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Solution

The fourth proportional to 10,272.12, 15,409.80 and 3,345 is: 5,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.12 : 15,409.80 = 3,345 : x
  2. Step 2: Convert to fraction form
    10,272.12/15,409.80 = 3,345/x
  3. Step 3: Cross multiply
    10,272.12x = 15,409.80 × 3,345
  4. Step 4: Simplify right side
    10,272.12x = 51,545,781
  5. Step 5: Solve for x
    x = 51,545,781/10,272.12
  6. Step 6: Final answer
    x = 5,018.03

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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.