Home / 10,707.12-16,057.44-3,780

Finding the Fourth Proportional to 10,707.12, 16,057.44 and 3,780

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Solution

The fourth proportional to 10,707.12, 16,057.44 and 3,780 is: 5,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.12 : 16,057.44 = 3,780 : x
  2. Step 2: Convert to fraction form
    10,707.12/16,057.44 = 3,780/x
  3. Step 3: Cross multiply
    10,707.12x = 16,057.44 × 3,780
  4. Step 4: Simplify right side
    10,707.12x = 60,697,123.20
  5. Step 5: Solve for x
    x = 60,697,123.20/10,707.12
  6. Step 6: Final answer
    x = 5,668.86

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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.