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Finding the Fourth Proportional to 15,141.96, 20,884.05 and 9,838.50

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Solution

The fourth proportional to 15,141.96, 20,884.05 and 9,838.50 is: 13,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.96 : 20,884.05 = 9,838.50 : x
  2. Step 2: Convert to fraction form
    15,141.96/20,884.05 = 9,838.50/x
  3. Step 3: Cross multiply
    15,141.96x = 20,884.05 × 9,838.50
  4. Step 4: Simplify right side
    15,141.96x = 205,467,725.93
  5. Step 5: Solve for x
    x = 205,467,725.93/15,141.96
  6. Step 6: Final answer
    x = 13,569.43

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1.5x scale

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.