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Finding the Fourth Proportional to 20,777.76, 28,674 and 11,347.20

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Solution

The fourth proportional to 20,777.76, 28,674 and 11,347.20 is: 15,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.76 : 28,674 = 11,347.20 : x
  2. Step 2: Convert to fraction form
    20,777.76/28,674 = 11,347.20/x
  3. Step 3: Cross multiply
    20,777.76x = 28,674 × 11,347.20
  4. Step 4: Simplify right side
    20,777.76x = 325,369,612.80
  5. Step 5: Solve for x
    x = 325,369,612.80/20,777.76
  6. Step 6: Final answer
    x = 15,659.51

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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.