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Finding the Fourth Proportional to 7,820.66, 11,732.32 and 2,890.32

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Solution

The fourth proportional to 7,820.66, 11,732.32 and 2,890.32 is: 4,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.66 : 11,732.32 = 2,890.32 : x
  2. Step 2: Convert to fraction form
    7,820.66/11,732.32 = 2,890.32/x
  3. Step 3: Cross multiply
    7,820.66x = 11,732.32 × 2,890.32
  4. Step 4: Simplify right side
    7,820.66x = 33,910,159.14
  5. Step 5: Solve for x
    x = 33,910,159.14/7,820.66
  6. Step 6: Final answer
    x = 4,335.97

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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.