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Finding the Fourth Proportional to 5,690.78, 7,852.53 and 3,172.28

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Solution

The fourth proportional to 5,690.78, 7,852.53 and 3,172.28 is: 4,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.78 : 7,852.53 = 3,172.28 : x
  2. Step 2: Convert to fraction form
    5,690.78/7,852.53 = 3,172.28/x
  3. Step 3: Cross multiply
    5,690.78x = 7,852.53 × 3,172.28
  4. Step 4: Simplify right side
    5,690.78x = 24,910,423.87
  5. Step 5: Solve for x
    x = 24,910,423.87/5,690.78
  6. Step 6: Final answer
    x = 4,377.33

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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.