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Finding the Fourth Proportional to 20,776, 28,670.71 and 11,344.56

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Solution

The fourth proportional to 20,776, 28,670.71 and 11,344.56 is: 15,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776 : 28,670.71 = 11,344.56 : x
  2. Step 2: Convert to fraction form
    20,776/28,670.71 = 11,344.56/x
  3. Step 3: Cross multiply
    20,776x = 28,670.71 × 11,344.56
  4. Step 4: Simplify right side
    20,776x = 325,256,589.84
  5. Step 5: Solve for x
    x = 325,256,589.84/20,776
  6. Step 6: Final answer
    x = 15,655.40

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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.