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Finding the Fourth Proportional to 6,669.60, 9,206.64 and 5,969.76

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Solution

The fourth proportional to 6,669.60, 9,206.64 and 5,969.76 is: 8,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.60 : 9,206.64 = 5,969.76 : x
  2. Step 2: Convert to fraction form
    6,669.60/9,206.64 = 5,969.76/x
  3. Step 3: Cross multiply
    6,669.60x = 9,206.64 × 5,969.76
  4. Step 4: Simplify right side
    6,669.60x = 54,961,431.21
  5. Step 5: Solve for x
    x = 54,961,431.21/6,669.60
  6. Step 6: Final answer
    x = 8,240.59

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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.