Home / 10,743.36-16,120-4,901.76

Finding the Fourth Proportional to 10,743.36, 16,120 and 4,901.76

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Solution

The fourth proportional to 10,743.36, 16,120 and 4,901.76 is: 7,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.36 : 16,120 = 4,901.76 : x
  2. Step 2: Convert to fraction form
    10,743.36/16,120 = 4,901.76/x
  3. Step 3: Cross multiply
    10,743.36x = 16,120 × 4,901.76
  4. Step 4: Simplify right side
    10,743.36x = 79,016,371.20
  5. Step 5: Solve for x
    x = 79,016,371.20/10,743.36
  6. Step 6: Final answer
    x = 7,354.90

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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.