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Finding the Fourth Proportional to 21,783.12, 32,671.44 and 7,932.24

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Solution

The fourth proportional to 21,783.12, 32,671.44 and 7,932.24 is: 11,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.12 : 32,671.44 = 7,932.24 : x
  2. Step 2: Convert to fraction form
    21,783.12/32,671.44 = 7,932.24/x
  3. Step 3: Cross multiply
    21,783.12x = 32,671.44 × 7,932.24
  4. Step 4: Simplify right side
    21,783.12x = 259,157,703.23
  5. Step 5: Solve for x
    x = 259,157,703.23/21,783.12
  6. Step 6: Final answer
    x = 11,897.18

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Similar ratio
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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.