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Finding the Fourth Proportional to 15,184.92, 20,945.70 and 9,805.30

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Solution

The fourth proportional to 15,184.92, 20,945.70 and 9,805.30 is: 13,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.92 : 20,945.70 = 9,805.30 : x
  2. Step 2: Convert to fraction form
    15,184.92/20,945.70 = 9,805.30/x
  3. Step 3: Cross multiply
    15,184.92x = 20,945.70 × 9,805.30
  4. Step 4: Simplify right side
    15,184.92x = 205,378,835.44
  5. Step 5: Solve for x
    x = 205,378,835.44/15,184.92
  6. Step 6: Final answer
    x = 13,525.19

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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.