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Finding the Fourth Proportional to 2,539.35, 3,807.71 and 895.66

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Solution

The fourth proportional to 2,539.35, 3,807.71 and 895.66 is: 1,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.35 : 3,807.71 = 895.66 : x
  2. Step 2: Convert to fraction form
    2,539.35/3,807.71 = 895.66/x
  3. Step 3: Cross multiply
    2,539.35x = 3,807.71 × 895.66
  4. Step 4: Simplify right side
    2,539.35x = 3,410,402.90
  5. Step 5: Solve for x
    x = 3,410,402.90/2,539.35
  6. Step 6: Final answer
    x = 1,343.02

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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.