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Finding the Fourth Proportional to 21,444, 32,143.92 and 12,088.32

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Solution

The fourth proportional to 21,444, 32,143.92 and 12,088.32 is: 18,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444 : 32,143.92 = 12,088.32 : x
  2. Step 2: Convert to fraction form
    21,444/32,143.92 = 12,088.32/x
  3. Step 3: Cross multiply
    21,444x = 32,143.92 × 12,088.32
  4. Step 4: Simplify right side
    21,444x = 388,565,991.01
  5. Step 5: Solve for x
    x = 388,565,991.01/21,444
  6. Step 6: Final answer
    x = 18,120.03

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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.