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Finding the Fourth Proportional to 3,856.77, 5,774.40 and 2,916.81

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Solution

The fourth proportional to 3,856.77, 5,774.40 and 2,916.81 is: 4,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.77 : 5,774.40 = 2,916.81 : x
  2. Step 2: Convert to fraction form
    3,856.77/5,774.40 = 2,916.81/x
  3. Step 3: Cross multiply
    3,856.77x = 5,774.40 × 2,916.81
  4. Step 4: Simplify right side
    3,856.77x = 16,842,827.66
  5. Step 5: Solve for x
    x = 16,842,827.66/3,856.77
  6. Step 6: Final answer
    x = 4,367.08

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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.