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Finding the Fourth Proportional to 21,640.93, 32,462.88 and 12,769.23

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Solution

The fourth proportional to 21,640.93, 32,462.88 and 12,769.23 is: 19,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.93 : 32,462.88 = 12,769.23 : x
  2. Step 2: Convert to fraction form
    21,640.93/32,462.88 = 12,769.23/x
  3. Step 3: Cross multiply
    21,640.93x = 32,462.88 × 12,769.23
  4. Step 4: Simplify right side
    21,640.93x = 414,525,981.18
  5. Step 5: Solve for x
    x = 414,525,981.18/21,640.93
  6. Step 6: Final answer
    x = 19,154.72

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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.