Home / 5,209.16-7,808.27-1,920.15

Finding the Fourth Proportional to 5,209.16, 7,808.27 and 1,920.15

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Solution

The fourth proportional to 5,209.16, 7,808.27 and 1,920.15 is: 2,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.16 : 7,808.27 = 1,920.15 : x
  2. Step 2: Convert to fraction form
    5,209.16/7,808.27 = 1,920.15/x
  3. Step 3: Cross multiply
    5,209.16x = 7,808.27 × 1,920.15
  4. Step 4: Simplify right side
    5,209.16x = 14,993,040.04
  5. Step 5: Solve for x
    x = 14,993,040.04/5,209.16
  6. Step 6: Final answer
    x = 2,878.21

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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.