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Finding the Fourth Proportional to 7,391, 10,199.58 and 4,079

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Solution

The fourth proportional to 7,391, 10,199.58 and 4,079 is: 5,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391 : 10,199.58 = 4,079 : x
  2. Step 2: Convert to fraction form
    7,391/10,199.58 = 4,079/x
  3. Step 3: Cross multiply
    7,391x = 10,199.58 × 4,079
  4. Step 4: Simplify right side
    7,391x = 41,604,086.82
  5. Step 5: Solve for x
    x = 41,604,086.82/7,391
  6. Step 6: Final answer
    x = 5,629.02

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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.