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Finding the Fourth Proportional to 6,856.71, 10,284.26 and 1,926.77

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Solution

The fourth proportional to 6,856.71, 10,284.26 and 1,926.77 is: 2,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.71 : 10,284.26 = 1,926.77 : x
  2. Step 2: Convert to fraction form
    6,856.71/10,284.26 = 1,926.77/x
  3. Step 3: Cross multiply
    6,856.71x = 10,284.26 × 1,926.77
  4. Step 4: Simplify right side
    6,856.71x = 19,815,434.17
  5. Step 5: Solve for x
    x = 19,815,434.17/6,856.71
  6. Step 6: Final answer
    x = 2,889.93

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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.