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Finding the Fourth Proportional to 7,613.64, 11,420.46 and 3,717

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Solution

The fourth proportional to 7,613.64, 11,420.46 and 3,717 is: 5,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.64 : 11,420.46 = 3,717 : x
  2. Step 2: Convert to fraction form
    7,613.64/11,420.46 = 3,717/x
  3. Step 3: Cross multiply
    7,613.64x = 11,420.46 × 3,717
  4. Step 4: Simplify right side
    7,613.64x = 42,449,849.82
  5. Step 5: Solve for x
    x = 42,449,849.82/7,613.64
  6. Step 6: Final answer
    x = 5,575.50

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1.5x scale

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.