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Finding the Fourth Proportional to 7,761.84, 11,648.40 and 5,819.28

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Solution

The fourth proportional to 7,761.84, 11,648.40 and 5,819.28 is: 8,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.84 : 11,648.40 = 5,819.28 : x
  2. Step 2: Convert to fraction form
    7,761.84/11,648.40 = 5,819.28/x
  3. Step 3: Cross multiply
    7,761.84x = 11,648.40 × 5,819.28
  4. Step 4: Simplify right side
    7,761.84x = 67,785,301.15
  5. Step 5: Solve for x
    x = 67,785,301.15/7,761.84
  6. Step 6: Final answer
    x = 8,733.15

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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.