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Finding the Fourth Proportional to 21,366, 32,045.04 and 5,781.60

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Solution

The fourth proportional to 21,366, 32,045.04 and 5,781.60 is: 8,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366 : 32,045.04 = 5,781.60 : x
  2. Step 2: Convert to fraction form
    21,366/32,045.04 = 5,781.60/x
  3. Step 3: Cross multiply
    21,366x = 32,045.04 × 5,781.60
  4. Step 4: Simplify right side
    21,366x = 185,271,603.26
  5. Step 5: Solve for x
    x = 185,271,603.26/21,366
  6. Step 6: Final answer
    x = 8,671.33

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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.