Home / 10,749-16,121.52-2,956.80

Finding the Fourth Proportional to 10,749, 16,121.52 and 2,956.80

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Solution

The fourth proportional to 10,749, 16,121.52 and 2,956.80 is: 4,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749 : 16,121.52 = 2,956.80 : x
  2. Step 2: Convert to fraction form
    10,749/16,121.52 = 2,956.80/x
  3. Step 3: Cross multiply
    10,749x = 16,121.52 × 2,956.80
  4. Step 4: Simplify right side
    10,749x = 47,668,110.34
  5. Step 5: Solve for x
    x = 47,668,110.34/10,749
  6. Step 6: Final answer
    x = 4,434.66

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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.