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Finding the Fourth Proportional to 21,918, 32,877.18 and 6,335.76

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Solution

The fourth proportional to 21,918, 32,877.18 and 6,335.76 is: 9,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 32,877.18 = 6,335.76 : x
  2. Step 2: Convert to fraction form
    21,918/32,877.18 = 6,335.76/x
  3. Step 3: Cross multiply
    21,918x = 32,877.18 × 6,335.76
  4. Step 4: Simplify right side
    21,918x = 208,301,921.96
  5. Step 5: Solve for x
    x = 208,301,921.96/21,918
  6. Step 6: Final answer
    x = 9,503.69

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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.