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Finding the Fourth Proportional to 13,220.10, 19,799.71 and 7,659.64

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Solution

The fourth proportional to 13,220.10, 19,799.71 and 7,659.64 is: 11,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.10 : 19,799.71 = 7,659.64 : x
  2. Step 2: Convert to fraction form
    13,220.10/19,799.71 = 7,659.64/x
  3. Step 3: Cross multiply
    13,220.10x = 19,799.71 × 7,659.64
  4. Step 4: Simplify right side
    13,220.10x = 151,658,650.70
  5. Step 5: Solve for x
    x = 151,658,650.70/13,220.10
  6. Step 6: Final answer
    x = 11,471.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.