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Finding the Fourth Proportional to 7,820.79, 11,732.49 and 2,890.44

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Solution

The fourth proportional to 7,820.79, 11,732.49 and 2,890.44 is: 4,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.79 : 11,732.49 = 2,890.44 : x
  2. Step 2: Convert to fraction form
    7,820.79/11,732.49 = 2,890.44/x
  3. Step 3: Cross multiply
    7,820.79x = 11,732.49 × 2,890.44
  4. Step 4: Simplify right side
    7,820.79x = 33,912,058.40
  5. Step 5: Solve for x
    x = 33,912,058.40/7,820.79
  6. Step 6: Final answer
    x = 4,336.14

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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.