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Finding the Fourth Proportional to 5,186.40, 7,778.40 and 1,722.72

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Solution

The fourth proportional to 5,186.40, 7,778.40 and 1,722.72 is: 2,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.40 : 7,778.40 = 1,722.72 : x
  2. Step 2: Convert to fraction form
    5,186.40/7,778.40 = 1,722.72/x
  3. Step 3: Cross multiply
    5,186.40x = 7,778.40 × 1,722.72
  4. Step 4: Simplify right side
    5,186.40x = 13,400,005.25
  5. Step 5: Solve for x
    x = 13,400,005.25/5,186.40
  6. Step 6: Final answer
    x = 2,583.68

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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.