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Finding the Fourth Proportional to 6,611.62, 9,107.76 and 5,664.32

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Solution

The fourth proportional to 6,611.62, 9,107.76 and 5,664.32 is: 7,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.62 : 9,107.76 = 5,664.32 : x
  2. Step 2: Convert to fraction form
    6,611.62/9,107.76 = 5,664.32/x
  3. Step 3: Cross multiply
    6,611.62x = 9,107.76 × 5,664.32
  4. Step 4: Simplify right side
    6,611.62x = 51,589,267.12
  5. Step 5: Solve for x
    x = 51,589,267.12/6,611.62
  6. Step 6: Final answer
    x = 7,802.82

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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.