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Finding the Fourth Proportional to 21,522, 32,295.96 and 9,210

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Solution

The fourth proportional to 21,522, 32,295.96 and 9,210 is: 13,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522 : 32,295.96 = 9,210 : x
  2. Step 2: Convert to fraction form
    21,522/32,295.96 = 9,210/x
  3. Step 3: Cross multiply
    21,522x = 32,295.96 × 9,210
  4. Step 4: Simplify right side
    21,522x = 297,445,791.60
  5. Step 5: Solve for x
    x = 297,445,791.60/21,522
  6. Step 6: Final answer
    x = 13,820.55

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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.