Home / 5,206.16-7,809.21-1,310.57

Finding the Fourth Proportional to 5,206.16, 7,809.21 and 1,310.57

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Solution

The fourth proportional to 5,206.16, 7,809.21 and 1,310.57 is: 1,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.16 : 7,809.21 = 1,310.57 : x
  2. Step 2: Convert to fraction form
    5,206.16/7,809.21 = 1,310.57/x
  3. Step 3: Cross multiply
    5,206.16x = 7,809.21 × 1,310.57
  4. Step 4: Simplify right side
    5,206.16x = 10,234,480.58
  5. Step 5: Solve for x
    x = 10,234,480.58/5,206.16
  6. Step 6: Final answer
    x = 1,965.84

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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.