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Finding the Fourth Proportional to 7,223.60, 10,825.80 and 5,169.20

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Solution

The fourth proportional to 7,223.60, 10,825.80 and 5,169.20 is: 7,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.60 : 10,825.80 = 5,169.20 : x
  2. Step 2: Convert to fraction form
    7,223.60/10,825.80 = 5,169.20/x
  3. Step 3: Cross multiply
    7,223.60x = 10,825.80 × 5,169.20
  4. Step 4: Simplify right side
    7,223.60x = 55,960,725.36
  5. Step 5: Solve for x
    x = 55,960,725.36/7,223.60
  6. Step 6: Final answer
    x = 7,746.93

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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.