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Finding the Fourth Proportional to 10,272, 15,409.22 and 3,346.50

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Solution

The fourth proportional to 10,272, 15,409.22 and 3,346.50 is: 5,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 15,409.22 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    10,272/15,409.22 = 3,346.50/x
  3. Step 3: Cross multiply
    10,272x = 15,409.22 × 3,346.50
  4. Step 4: Simplify right side
    10,272x = 51,566,938.00
  5. Step 5: Solve for x
    x = 51,566,938.00/10,272
  6. Step 6: Final answer
    x = 5,020.15

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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.