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Finding the Fourth Proportional to 21,612.94, 32,395.32 and 9,129.22

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Solution

The fourth proportional to 21,612.94, 32,395.32 and 9,129.22 is: 13,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.94 : 32,395.32 = 9,129.22 : x
  2. Step 2: Convert to fraction form
    21,612.94/32,395.32 = 9,129.22/x
  3. Step 3: Cross multiply
    21,612.94x = 32,395.32 × 9,129.22
  4. Step 4: Simplify right side
    21,612.94x = 295,744,003.25
  5. Step 5: Solve for x
    x = 295,744,003.25/21,612.94
  6. Step 6: Final answer
    x = 13,683.65

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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.