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Finding the Fourth Proportional to 21,719.76, 29,966.40 and 12,764.40

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Solution

The fourth proportional to 21,719.76, 29,966.40 and 12,764.40 is: 17,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,719.76 : 29,966.40 = 12,764.40 : x
  2. Step 2: Convert to fraction form
    21,719.76/29,966.40 = 12,764.40/x
  3. Step 3: Cross multiply
    21,719.76x = 29,966.40 × 12,764.40
  4. Step 4: Simplify right side
    21,719.76x = 382,503,116.16
  5. Step 5: Solve for x
    x = 382,503,116.16/21,719.76
  6. Step 6: Final answer
    x = 17,610.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.