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Finding the Fourth Proportional to 21,781, 32,671.66 and 5,365

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Solution

The fourth proportional to 21,781, 32,671.66 and 5,365 is: 8,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781 : 32,671.66 = 5,365 : x
  2. Step 2: Convert to fraction form
    21,781/32,671.66 = 5,365/x
  3. Step 3: Cross multiply
    21,781x = 32,671.66 × 5,365
  4. Step 4: Simplify right side
    21,781x = 175,283,455.90
  5. Step 5: Solve for x
    x = 175,283,455.90/21,781
  6. Step 6: Final answer
    x = 8,047.54

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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.