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Finding the Fourth Proportional to 7,431.64, 10,255.86 and 4,288

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Solution

The fourth proportional to 7,431.64, 10,255.86 and 4,288 is: 5,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.64 : 10,255.86 = 4,288 : x
  2. Step 2: Convert to fraction form
    7,431.64/10,255.86 = 4,288/x
  3. Step 3: Cross multiply
    7,431.64x = 10,255.86 × 4,288
  4. Step 4: Simplify right side
    7,431.64x = 43,977,127.68
  5. Step 5: Solve for x
    x = 43,977,127.68/7,431.64
  6. Step 6: Final answer
    x = 5,917.55

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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.