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Finding the Fourth Proportional to 21,620, 32,411.44 and 7,578.08

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Solution

The fourth proportional to 21,620, 32,411.44 and 7,578.08 is: 11,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620 : 32,411.44 = 7,578.08 : x
  2. Step 2: Convert to fraction form
    21,620/32,411.44 = 7,578.08/x
  3. Step 3: Cross multiply
    21,620x = 32,411.44 × 7,578.08
  4. Step 4: Simplify right side
    21,620x = 245,616,485.24
  5. Step 5: Solve for x
    x = 245,616,485.24/21,620
  6. Step 6: Final answer
    x = 11,360.61

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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.