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Finding the Fourth Proportional to 10,451.76, 15,676 and 3,429.68

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Solution

The fourth proportional to 10,451.76, 15,676 and 3,429.68 is: 5,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.76 : 15,676 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    10,451.76/15,676 = 3,429.68/x
  3. Step 3: Cross multiply
    10,451.76x = 15,676 × 3,429.68
  4. Step 4: Simplify right side
    10,451.76x = 53,763,663.68
  5. Step 5: Solve for x
    x = 53,763,663.68/10,451.76
  6. Step 6: Final answer
    x = 5,143.98

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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.