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Finding the Fourth Proportional to 21,785.14, 32,671.16 and 7,743.32

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Solution

The fourth proportional to 21,785.14, 32,671.16 and 7,743.32 is: 11,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.14 : 32,671.16 = 7,743.32 : x
  2. Step 2: Convert to fraction form
    21,785.14/32,671.16 = 7,743.32/x
  3. Step 3: Cross multiply
    21,785.14x = 32,671.16 × 7,743.32
  4. Step 4: Simplify right side
    21,785.14x = 252,983,225.17
  5. Step 5: Solve for x
    x = 252,983,225.17/21,785.14
  6. Step 6: Final answer
    x = 11,612.65

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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.