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Finding the Fourth Proportional to 2,347.48, 3,520.87 and 787.22

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Solution

The fourth proportional to 2,347.48, 3,520.87 and 787.22 is: 1,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.48 : 3,520.87 = 787.22 : x
  2. Step 2: Convert to fraction form
    2,347.48/3,520.87 = 787.22/x
  3. Step 3: Cross multiply
    2,347.48x = 3,520.87 × 787.22
  4. Step 4: Simplify right side
    2,347.48x = 2,771,692.91
  5. Step 5: Solve for x
    x = 2,771,692.91/2,347.48
  6. Step 6: Final answer
    x = 1,180.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.