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Finding the Fourth Proportional to 7,820.74, 11,731.11 and 3,200.50

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Solution

The fourth proportional to 7,820.74, 11,731.11 and 3,200.50 is: 4,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.74 : 11,731.11 = 3,200.50 : x
  2. Step 2: Convert to fraction form
    7,820.74/11,731.11 = 3,200.50/x
  3. Step 3: Cross multiply
    7,820.74x = 11,731.11 × 3,200.50
  4. Step 4: Simplify right side
    7,820.74x = 37,545,417.56
  5. Step 5: Solve for x
    x = 37,545,417.56/7,820.74
  6. Step 6: Final answer
    x = 4,800.75

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1.5x scale

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.