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Finding the Fourth Proportional to 15,805.15, 21,811.74 and 9,090.78

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Solution

The fourth proportional to 15,805.15, 21,811.74 and 9,090.78 is: 12,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.15 : 21,811.74 = 9,090.78 : x
  2. Step 2: Convert to fraction form
    15,805.15/21,811.74 = 9,090.78/x
  3. Step 3: Cross multiply
    15,805.15x = 21,811.74 × 9,090.78
  4. Step 4: Simplify right side
    15,805.15x = 198,285,729.76
  5. Step 5: Solve for x
    x = 198,285,729.76/15,805.15
  6. Step 6: Final answer
    x = 12,545.64

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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.