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Finding the Fourth Proportional to 5,155.71, 7,730.49 and 1,867.70

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Solution

The fourth proportional to 5,155.71, 7,730.49 and 1,867.70 is: 2,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.71 : 7,730.49 = 1,867.70 : x
  2. Step 2: Convert to fraction form
    5,155.71/7,730.49 = 1,867.70/x
  3. Step 3: Cross multiply
    5,155.71x = 7,730.49 × 1,867.70
  4. Step 4: Simplify right side
    5,155.71x = 14,438,236.17
  5. Step 5: Solve for x
    x = 14,438,236.17/5,155.71
  6. Step 6: Final answer
    x = 2,800.44

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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.