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Finding the Fourth Proportional to 4,295, 6,443.58 and 1,217

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Solution

The fourth proportional to 4,295, 6,443.58 and 1,217 is: 1,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295 : 6,443.58 = 1,217 : x
  2. Step 2: Convert to fraction form
    4,295/6,443.58 = 1,217/x
  3. Step 3: Cross multiply
    4,295x = 6,443.58 × 1,217
  4. Step 4: Simplify right side
    4,295x = 7,841,836.86
  5. Step 5: Solve for x
    x = 7,841,836.86/4,295
  6. Step 6: Final answer
    x = 1,825.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.