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Finding the Fourth Proportional to 6,993.60, 9,650.16 and 4,477.92

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Solution

The fourth proportional to 6,993.60, 9,650.16 and 4,477.92 is: 6,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.60 : 9,650.16 = 4,477.92 : x
  2. Step 2: Convert to fraction form
    6,993.60/9,650.16 = 4,477.92/x
  3. Step 3: Cross multiply
    6,993.60x = 9,650.16 × 4,477.92
  4. Step 4: Simplify right side
    6,993.60x = 43,212,644.47
  5. Step 5: Solve for x
    x = 43,212,644.47/6,993.60
  6. Step 6: Final answer
    x = 6,178.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.