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Finding the Fourth Proportional to 4,430, 6,643.64 and 2,238.14

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Solution

The fourth proportional to 4,430, 6,643.64 and 2,238.14 is: 3,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430 : 6,643.64 = 2,238.14 : x
  2. Step 2: Convert to fraction form
    4,430/6,643.64 = 2,238.14/x
  3. Step 3: Cross multiply
    4,430x = 6,643.64 × 2,238.14
  4. Step 4: Simplify right side
    4,430x = 14,869,396.43
  5. Step 5: Solve for x
    x = 14,869,396.43/4,430
  6. Step 6: Final answer
    x = 3,356.52

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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.