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Finding the Fourth Proportional to 38,482.32, 53,109.96 and 21,714

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Solution

The fourth proportional to 38,482.32, 53,109.96 and 21,714 is: 29,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.32 : 53,109.96 = 21,714 : x
  2. Step 2: Convert to fraction form
    38,482.32/53,109.96 = 21,714/x
  3. Step 3: Cross multiply
    38,482.32x = 53,109.96 × 21,714
  4. Step 4: Simplify right side
    38,482.32x = 1,153,229,671.44
  5. Step 5: Solve for x
    x = 1,153,229,671.44/38,482.32
  6. Step 6: Final answer
    x = 29,967.78

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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.