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Finding the Fourth Proportional to 6,689.87, 9,222.40 and 4,694.24

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Solution

The fourth proportional to 6,689.87, 9,222.40 and 4,694.24 is: 6,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.87 : 9,222.40 = 4,694.24 : x
  2. Step 2: Convert to fraction form
    6,689.87/9,222.40 = 4,694.24/x
  3. Step 3: Cross multiply
    6,689.87x = 9,222.40 × 4,694.24
  4. Step 4: Simplify right side
    6,689.87x = 43,292,101.13
  5. Step 5: Solve for x
    x = 43,292,101.13/6,689.87
  6. Step 6: Final answer
    x = 6,471.30

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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.