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Finding the Fourth Proportional to 5,707.12, 7,875.72 and 3,223.12

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Solution

The fourth proportional to 5,707.12, 7,875.72 and 3,223.12 is: 4,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.12 : 7,875.72 = 3,223.12 : x
  2. Step 2: Convert to fraction form
    5,707.12/7,875.72 = 3,223.12/x
  3. Step 3: Cross multiply
    5,707.12x = 7,875.72 × 3,223.12
  4. Step 4: Simplify right side
    5,707.12x = 25,384,390.65
  5. Step 5: Solve for x
    x = 25,384,390.65/5,707.12
  6. Step 6: Final answer
    x = 4,447.85

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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.