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Finding the Fourth Proportional to 3,886.48, 5,830.03 and 1,913.17

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Solution

The fourth proportional to 3,886.48, 5,830.03 and 1,913.17 is: 2,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.48 : 5,830.03 = 1,913.17 : x
  2. Step 2: Convert to fraction form
    3,886.48/5,830.03 = 1,913.17/x
  3. Step 3: Cross multiply
    3,886.48x = 5,830.03 × 1,913.17
  4. Step 4: Simplify right side
    3,886.48x = 11,153,826.48
  5. Step 5: Solve for x
    x = 11,153,826.48/3,886.48
  6. Step 6: Final answer
    x = 2,869.90

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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.