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Finding the Fourth Proportional to 7,474.61, 11,191.87 and 4,178.32

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Solution

The fourth proportional to 7,474.61, 11,191.87 and 4,178.32 is: 6,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.61 : 11,191.87 = 4,178.32 : x
  2. Step 2: Convert to fraction form
    7,474.61/11,191.87 = 4,178.32/x
  3. Step 3: Cross multiply
    7,474.61x = 11,191.87 × 4,178.32
  4. Step 4: Simplify right side
    7,474.61x = 46,763,191.50
  5. Step 5: Solve for x
    x = 46,763,191.50/7,474.61
  6. Step 6: Final answer
    x = 6,256.27

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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.