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Finding the Fourth Proportional to 15,043.64, 20,760.98 and 8,330

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Solution

The fourth proportional to 15,043.64, 20,760.98 and 8,330 is: 11,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,043.64 : 20,760.98 = 8,330 : x
  2. Step 2: Convert to fraction form
    15,043.64/20,760.98 = 8,330/x
  3. Step 3: Cross multiply
    15,043.64x = 20,760.98 × 8,330
  4. Step 4: Simplify right side
    15,043.64x = 172,938,963.40
  5. Step 5: Solve for x
    x = 172,938,963.40/15,043.64
  6. Step 6: Final answer
    x = 11,495.82

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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.