Home / 10,780.72-16,171-3,385.20

Finding the Fourth Proportional to 10,780.72, 16,171 and 3,385.20

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Solution

The fourth proportional to 10,780.72, 16,171 and 3,385.20 is: 5,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.72 : 16,171 = 3,385.20 : x
  2. Step 2: Convert to fraction form
    10,780.72/16,171 = 3,385.20/x
  3. Step 3: Cross multiply
    10,780.72x = 16,171 × 3,385.20
  4. Step 4: Simplify right side
    10,780.72x = 54,742,069.20
  5. Step 5: Solve for x
    x = 54,742,069.20/10,780.72
  6. Step 6: Final answer
    x = 5,077.77

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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.