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Finding the Fourth Proportional to 6,276, 9,414.54 and 1,659

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Solution

The fourth proportional to 6,276, 9,414.54 and 1,659 is: 2,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276 : 9,414.54 = 1,659 : x
  2. Step 2: Convert to fraction form
    6,276/9,414.54 = 1,659/x
  3. Step 3: Cross multiply
    6,276x = 9,414.54 × 1,659
  4. Step 4: Simplify right side
    6,276x = 15,618,721.86
  5. Step 5: Solve for x
    x = 15,618,721.86/6,276
  6. Step 6: Final answer
    x = 2,488.64

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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.