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Finding the Fourth Proportional to 15,185.92, 20,947.08 and 9,806.30

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Solution

The fourth proportional to 15,185.92, 20,947.08 and 9,806.30 is: 13,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.92 : 20,947.08 = 9,806.30 : x
  2. Step 2: Convert to fraction form
    15,185.92/20,947.08 = 9,806.30/x
  3. Step 3: Cross multiply
    15,185.92x = 20,947.08 × 9,806.30
  4. Step 4: Simplify right side
    15,185.92x = 205,413,350.60
  5. Step 5: Solve for x
    x = 205,413,350.60/15,185.92
  6. Step 6: Final answer
    x = 13,526.57

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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.