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Finding the Fourth Proportional to 3,785.32, 5,223.14 and 2,129

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Solution

The fourth proportional to 3,785.32, 5,223.14 and 2,129 is: 2,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.32 : 5,223.14 = 2,129 : x
  2. Step 2: Convert to fraction form
    3,785.32/5,223.14 = 2,129/x
  3. Step 3: Cross multiply
    3,785.32x = 5,223.14 × 2,129
  4. Step 4: Simplify right side
    3,785.32x = 11,120,065.06
  5. Step 5: Solve for x
    x = 11,120,065.06/3,785.32
  6. Step 6: Final answer
    x = 2,937.68

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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.