Home / 7,309.72-10,966.20-3,412

Finding the Fourth Proportional to 7,309.72, 10,966.20 and 3,412

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Solution

The fourth proportional to 7,309.72, 10,966.20 and 3,412 is: 5,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.72 : 10,966.20 = 3,412 : x
  2. Step 2: Convert to fraction form
    7,309.72/10,966.20 = 3,412/x
  3. Step 3: Cross multiply
    7,309.72x = 10,966.20 × 3,412
  4. Step 4: Simplify right side
    7,309.72x = 37,416,674.40
  5. Step 5: Solve for x
    x = 37,416,674.40/7,309.72
  6. Step 6: Final answer
    x = 5,118.76

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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.