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Finding the Fourth Proportional to 1,931.73, 2,890.30 and 1,513.77

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Solution

The fourth proportional to 1,931.73, 2,890.30 and 1,513.77 is: 2,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.73 : 2,890.30 = 1,513.77 : x
  2. Step 2: Convert to fraction form
    1,931.73/2,890.30 = 1,513.77/x
  3. Step 3: Cross multiply
    1,931.73x = 2,890.30 × 1,513.77
  4. Step 4: Simplify right side
    1,931.73x = 4,375,249.43
  5. Step 5: Solve for x
    x = 4,375,249.43/1,931.73
  6. Step 6: Final answer
    x = 2,264.94

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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.