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Finding the Fourth Proportional to 2,518.86, 3,778.32 and 787.50

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Solution

The fourth proportional to 2,518.86, 3,778.32 and 787.50 is: 1,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.86 : 3,778.32 = 787.50 : x
  2. Step 2: Convert to fraction form
    2,518.86/3,778.32 = 787.50/x
  3. Step 3: Cross multiply
    2,518.86x = 3,778.32 × 787.50
  4. Step 4: Simplify right side
    2,518.86x = 2,975,427
  5. Step 5: Solve for x
    x = 2,975,427/2,518.86
  6. Step 6: Final answer
    x = 1,181.26

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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.