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Finding the Fourth Proportional to 3,785.44, 5,678.22 and 1,931.32

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Solution

The fourth proportional to 3,785.44, 5,678.22 and 1,931.32 is: 2,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.44 : 5,678.22 = 1,931.32 : x
  2. Step 2: Convert to fraction form
    3,785.44/5,678.22 = 1,931.32/x
  3. Step 3: Cross multiply
    3,785.44x = 5,678.22 × 1,931.32
  4. Step 4: Simplify right side
    3,785.44x = 10,966,459.85
  5. Step 5: Solve for x
    x = 10,966,459.85/3,785.44
  6. Step 6: Final answer
    x = 2,897.01

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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.