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Finding the Fourth Proportional to 5,205.65, 7,808.81 and 1,921.05

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Solution

The fourth proportional to 5,205.65, 7,808.81 and 1,921.05 is: 2,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.65 : 7,808.81 = 1,921.05 : x
  2. Step 2: Convert to fraction form
    5,205.65/7,808.81 = 1,921.05/x
  3. Step 3: Cross multiply
    5,205.65x = 7,808.81 × 1,921.05
  4. Step 4: Simplify right side
    5,205.65x = 15,001,104.85
  5. Step 5: Solve for x
    x = 15,001,104.85/5,205.65
  6. Step 6: Final answer
    x = 2,881.70

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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.