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Finding the Fourth Proportional to 20,341.76, 30,518 and 6,301.44

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Solution

The fourth proportional to 20,341.76, 30,518 and 6,301.44 is: 9,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.76 : 30,518 = 6,301.44 : x
  2. Step 2: Convert to fraction form
    20,341.76/30,518 = 6,301.44/x
  3. Step 3: Cross multiply
    20,341.76x = 30,518 × 6,301.44
  4. Step 4: Simplify right side
    20,341.76x = 192,307,345.92
  5. Step 5: Solve for x
    x = 192,307,345.92/20,341.76
  6. Step 6: Final answer
    x = 9,453.82

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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.