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Finding the Fourth Proportional to 2,875.78, 4,311.60 and 1,643.77

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Solution

The fourth proportional to 2,875.78, 4,311.60 and 1,643.77 is: 2,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.78 : 4,311.60 = 1,643.77 : x
  2. Step 2: Convert to fraction form
    2,875.78/4,311.60 = 1,643.77/x
  3. Step 3: Cross multiply
    2,875.78x = 4,311.60 × 1,643.77
  4. Step 4: Simplify right side
    2,875.78x = 7,087,278.73
  5. Step 5: Solve for x
    x = 7,087,278.73/2,875.78
  6. Step 6: Final answer
    x = 2,464.47

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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.