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Finding the Fourth Proportional to 2,921, 4,029.78 and 1,926.76

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Solution

The fourth proportional to 2,921, 4,029.78 and 1,926.76 is: 2,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921 : 4,029.78 = 1,926.76 : x
  2. Step 2: Convert to fraction form
    2,921/4,029.78 = 1,926.76/x
  3. Step 3: Cross multiply
    2,921x = 4,029.78 × 1,926.76
  4. Step 4: Simplify right side
    2,921x = 7,764,418.91
  5. Step 5: Solve for x
    x = 7,764,418.91/2,921
  6. Step 6: Final answer
    x = 2,658.14

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1.5x scale

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.