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Finding the Fourth Proportional to 10,854.51, 14,979.51 and 6,137.88

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Solution

The fourth proportional to 10,854.51, 14,979.51 and 6,137.88 is: 8,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.51 : 14,979.51 = 6,137.88 : x
  2. Step 2: Convert to fraction form
    10,854.51/14,979.51 = 6,137.88/x
  3. Step 3: Cross multiply
    10,854.51x = 14,979.51 × 6,137.88
  4. Step 4: Simplify right side
    10,854.51x = 91,942,434.84
  5. Step 5: Solve for x
    x = 91,942,434.84/10,854.51
  6. Step 6: Final answer
    x = 8,470.44

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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.