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Finding the Fourth Proportional to 7,486.25, 10,330.82 and 4,129

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Solution

The fourth proportional to 7,486.25, 10,330.82 and 4,129 is: 5,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.25 : 10,330.82 = 4,129 : x
  2. Step 2: Convert to fraction form
    7,486.25/10,330.82 = 4,129/x
  3. Step 3: Cross multiply
    7,486.25x = 10,330.82 × 4,129
  4. Step 4: Simplify right side
    7,486.25x = 42,655,955.78
  5. Step 5: Solve for x
    x = 42,655,955.78/7,486.25
  6. Step 6: Final answer
    x = 5,697.91

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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.