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Finding the Fourth Proportional to 6,978.17, 10,450.85 and 5,507.48

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Solution

The fourth proportional to 6,978.17, 10,450.85 and 5,507.48 is: 8,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.17 : 10,450.85 = 5,507.48 : x
  2. Step 2: Convert to fraction form
    6,978.17/10,450.85 = 5,507.48/x
  3. Step 3: Cross multiply
    6,978.17x = 10,450.85 × 5,507.48
  4. Step 4: Simplify right side
    6,978.17x = 57,557,767.57
  5. Step 5: Solve for x
    x = 57,557,767.57/6,978.17
  6. Step 6: Final answer
    x = 8,248.27

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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.