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Finding the Fourth Proportional to 15,015, 20,725.56 and 9,426

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Solution

The fourth proportional to 15,015, 20,725.56 and 9,426 is: 13,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,015 : 20,725.56 = 9,426 : x
  2. Step 2: Convert to fraction form
    15,015/20,725.56 = 9,426/x
  3. Step 3: Cross multiply
    15,015x = 20,725.56 × 9,426
  4. Step 4: Simplify right side
    15,015x = 195,359,128.56
  5. Step 5: Solve for x
    x = 195,359,128.56/15,015
  6. Step 6: Final answer
    x = 13,010.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.