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Finding the Fourth Proportional to 20,638.66, 30,956.76 and 5,849.68

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Solution

The fourth proportional to 20,638.66, 30,956.76 and 5,849.68 is: 8,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.66 : 30,956.76 = 5,849.68 : x
  2. Step 2: Convert to fraction form
    20,638.66/30,956.76 = 5,849.68/x
  3. Step 3: Cross multiply
    20,638.66x = 30,956.76 × 5,849.68
  4. Step 4: Simplify right side
    20,638.66x = 181,087,139.84
  5. Step 5: Solve for x
    x = 181,087,139.84/20,638.66
  6. Step 6: Final answer
    x = 8,774.17

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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.