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Finding the Fourth Proportional to 7,799.10, 11,698.65 and 3,902.10

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Solution

The fourth proportional to 7,799.10, 11,698.65 and 3,902.10 is: 5,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.10 : 11,698.65 = 3,902.10 : x
  2. Step 2: Convert to fraction form
    7,799.10/11,698.65 = 3,902.10/x
  3. Step 3: Cross multiply
    7,799.10x = 11,698.65 × 3,902.10
  4. Step 4: Simplify right side
    7,799.10x = 45,649,302.17
  5. Step 5: Solve for x
    x = 45,649,302.17/7,799.10
  6. Step 6: Final answer
    x = 5,853.15

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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.