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Finding the Fourth Proportional to 4,400, 6,602.88 and 1,664

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Solution

The fourth proportional to 4,400, 6,602.88 and 1,664 is: 2,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400 : 6,602.88 = 1,664 : x
  2. Step 2: Convert to fraction form
    4,400/6,602.88 = 1,664/x
  3. Step 3: Cross multiply
    4,400x = 6,602.88 × 1,664
  4. Step 4: Simplify right side
    4,400x = 10,987,192.32
  5. Step 5: Solve for x
    x = 10,987,192.32/4,400
  6. Step 6: Final answer
    x = 2,497.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.