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Finding the Fourth Proportional to 3,490.55, 5,235.87 and 893.42

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Solution

The fourth proportional to 3,490.55, 5,235.87 and 893.42 is: 1,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.55 : 5,235.87 = 893.42 : x
  2. Step 2: Convert to fraction form
    3,490.55/5,235.87 = 893.42/x
  3. Step 3: Cross multiply
    3,490.55x = 5,235.87 × 893.42
  4. Step 4: Simplify right side
    3,490.55x = 4,677,830.98
  5. Step 5: Solve for x
    x = 4,677,830.98/3,490.55
  6. Step 6: Final answer
    x = 1,340.14

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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.