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Finding the Fourth Proportional to 21,671.13, 32,507.82 and 6,881.21

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Solution

The fourth proportional to 21,671.13, 32,507.82 and 6,881.21 is: 10,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.13 : 32,507.82 = 6,881.21 : x
  2. Step 2: Convert to fraction form
    21,671.13/32,507.82 = 6,881.21/x
  3. Step 3: Cross multiply
    21,671.13x = 32,507.82 × 6,881.21
  4. Step 4: Simplify right side
    21,671.13x = 223,692,973.52
  5. Step 5: Solve for x
    x = 223,692,973.52/21,671.13
  6. Step 6: Final answer
    x = 10,322.16

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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.