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Finding the Fourth Proportional to 6,998.40, 9,650.38 and 5,405.30

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Solution

The fourth proportional to 6,998.40, 9,650.38 and 5,405.30 is: 7,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 9,650.38 = 5,405.30 : x
  2. Step 2: Convert to fraction form
    6,998.40/9,650.38 = 5,405.30/x
  3. Step 3: Cross multiply
    6,998.40x = 9,650.38 × 5,405.30
  4. Step 4: Simplify right side
    6,998.40x = 52,163,171.99
  5. Step 5: Solve for x
    x = 52,163,171.99/6,998.40
  6. Step 6: Final answer
    x = 7,453.59

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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.