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Finding the Fourth Proportional to 5,698.24, 7,863.90 and 3,180.45

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Solution

The fourth proportional to 5,698.24, 7,863.90 and 3,180.45 is: 4,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.24 : 7,863.90 = 3,180.45 : x
  2. Step 2: Convert to fraction form
    5,698.24/7,863.90 = 3,180.45/x
  3. Step 3: Cross multiply
    5,698.24x = 7,863.90 × 3,180.45
  4. Step 4: Simplify right side
    5,698.24x = 25,010,776.21
  5. Step 5: Solve for x
    x = 25,010,776.21/5,698.24
  6. Step 6: Final answer
    x = 4,389.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.