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Finding the Fourth Proportional to 7,320, 10,102.08 and 4,008

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Solution

The fourth proportional to 7,320, 10,102.08 and 4,008 is: 5,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320 : 10,102.08 = 4,008 : x
  2. Step 2: Convert to fraction form
    7,320/10,102.08 = 4,008/x
  3. Step 3: Cross multiply
    7,320x = 10,102.08 × 4,008
  4. Step 4: Simplify right side
    7,320x = 40,489,136.64
  5. Step 5: Solve for x
    x = 40,489,136.64/7,320
  6. Step 6: Final answer
    x = 5,531.30

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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.