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Finding the Fourth Proportional to 21,705.60, 32,515.20 and 11,827.20

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Solution

The fourth proportional to 21,705.60, 32,515.20 and 11,827.20 is: 17,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.60 : 32,515.20 = 11,827.20 : x
  2. Step 2: Convert to fraction form
    21,705.60/32,515.20 = 11,827.20/x
  3. Step 3: Cross multiply
    21,705.60x = 32,515.20 × 11,827.20
  4. Step 4: Simplify right side
    21,705.60x = 384,563,773.44
  5. Step 5: Solve for x
    x = 384,563,773.44/21,705.60
  6. Step 6: Final answer
    x = 17,717.26

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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.