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Finding the Fourth Proportional to 15,811.55, 21,820.78 and 9,098.20

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Solution

The fourth proportional to 15,811.55, 21,820.78 and 9,098.20 is: 12,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.55 : 21,820.78 = 9,098.20 : x
  2. Step 2: Convert to fraction form
    15,811.55/21,820.78 = 9,098.20/x
  3. Step 3: Cross multiply
    15,811.55x = 21,820.78 × 9,098.20
  4. Step 4: Simplify right side
    15,811.55x = 198,529,820.60
  5. Step 5: Solve for x
    x = 198,529,820.60/15,811.55
  6. Step 6: Final answer
    x = 12,556.00

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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.