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Finding the Fourth Proportional to 3,869, 5,798.62 and 2,775.50

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Solution

The fourth proportional to 3,869, 5,798.62 and 2,775.50 is: 4,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869 : 5,798.62 = 2,775.50 : x
  2. Step 2: Convert to fraction form
    3,869/5,798.62 = 2,775.50/x
  3. Step 3: Cross multiply
    3,869x = 5,798.62 × 2,775.50
  4. Step 4: Simplify right side
    3,869x = 16,094,069.81
  5. Step 5: Solve for x
    x = 16,094,069.81/3,869
  6. Step 6: Final answer
    x = 4,159.75

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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.