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Finding the Fourth Proportional to 3,937.78, 5,906.67 and 1,164.48

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Solution

The fourth proportional to 3,937.78, 5,906.67 and 1,164.48 is: 1,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.78 : 5,906.67 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    3,937.78/5,906.67 = 1,164.48/x
  3. Step 3: Cross multiply
    3,937.78x = 5,906.67 × 1,164.48
  4. Step 4: Simplify right side
    3,937.78x = 6,878,199.08
  5. Step 5: Solve for x
    x = 6,878,199.08/3,937.78
  6. Step 6: Final answer
    x = 1,746.72

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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.