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Finding the Fourth Proportional to 21,102.74, 31,655.78 and 7,062.84

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Solution

The fourth proportional to 21,102.74, 31,655.78 and 7,062.84 is: 10,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.74 : 31,655.78 = 7,062.84 : x
  2. Step 2: Convert to fraction form
    21,102.74/31,655.78 = 7,062.84/x
  3. Step 3: Cross multiply
    21,102.74x = 31,655.78 × 7,062.84
  4. Step 4: Simplify right side
    21,102.74x = 223,579,709.22
  5. Step 5: Solve for x
    x = 223,579,709.22/21,102.74
  6. Step 6: Final answer
    x = 10,594.82

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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.