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Finding the Fourth Proportional to 3,856.13, 5,784.47 and 3,397.08

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Solution

The fourth proportional to 3,856.13, 5,784.47 and 3,397.08 is: 5,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.13 : 5,784.47 = 3,397.08 : x
  2. Step 2: Convert to fraction form
    3,856.13/5,784.47 = 3,397.08/x
  3. Step 3: Cross multiply
    3,856.13x = 5,784.47 × 3,397.08
  4. Step 4: Simplify right side
    3,856.13x = 19,650,307.35
  5. Step 5: Solve for x
    x = 19,650,307.35/3,856.13
  6. Step 6: Final answer
    x = 5,095.87

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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.