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Finding the Fourth Proportional to 5,209.32, 7,809.66 and 1,921.80

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Solution

The fourth proportional to 5,209.32, 7,809.66 and 1,921.80 is: 2,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.32 : 7,809.66 = 1,921.80 : x
  2. Step 2: Convert to fraction form
    5,209.32/7,809.66 = 1,921.80/x
  3. Step 3: Cross multiply
    5,209.32x = 7,809.66 × 1,921.80
  4. Step 4: Simplify right side
    5,209.32x = 15,008,604.59
  5. Step 5: Solve for x
    x = 15,008,604.59/5,209.32
  6. Step 6: Final answer
    x = 2,881.11

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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.