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Finding the Fourth Proportional to 6,553.62, 9,826.65 and 4,476.78

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Solution

The fourth proportional to 6,553.62, 9,826.65 and 4,476.78 is: 6,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.62 : 9,826.65 = 4,476.78 : x
  2. Step 2: Convert to fraction form
    6,553.62/9,826.65 = 4,476.78/x
  3. Step 3: Cross multiply
    6,553.62x = 9,826.65 × 4,476.78
  4. Step 4: Simplify right side
    6,553.62x = 43,991,750.19
  5. Step 5: Solve for x
    x = 43,991,750.19/6,553.62
  6. Step 6: Final answer
    x = 6,712.59

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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.