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Finding the Fourth Proportional to 7,272, 10,035.36 and 4,128.19

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Solution

The fourth proportional to 7,272, 10,035.36 and 4,128.19 is: 5,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272 : 10,035.36 = 4,128.19 : x
  2. Step 2: Convert to fraction form
    7,272/10,035.36 = 4,128.19/x
  3. Step 3: Cross multiply
    7,272x = 10,035.36 × 4,128.19
  4. Step 4: Simplify right side
    7,272x = 41,427,847.71
  5. Step 5: Solve for x
    x = 41,427,847.71/7,272
  6. Step 6: Final answer
    x = 5,696.90

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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.