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Finding the Fourth Proportional to 21,657, 32,391.66 and 12,751.11

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Solution

The fourth proportional to 21,657, 32,391.66 and 12,751.11 is: 19,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657 : 32,391.66 = 12,751.11 : x
  2. Step 2: Convert to fraction form
    21,657/32,391.66 = 12,751.11/x
  3. Step 3: Cross multiply
    21,657x = 32,391.66 × 12,751.11
  4. Step 4: Simplify right side
    21,657x = 413,029,619.74
  5. Step 5: Solve for x
    x = 413,029,619.74/21,657
  6. Step 6: Final answer
    x = 19,071.41

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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.