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Finding the Fourth Proportional to 7,589.70, 11,396.70 and 5,135.40

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Solution

The fourth proportional to 7,589.70, 11,396.70 and 5,135.40 is: 7,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.70 : 11,396.70 = 5,135.40 : x
  2. Step 2: Convert to fraction form
    7,589.70/11,396.70 = 5,135.40/x
  3. Step 3: Cross multiply
    7,589.70x = 11,396.70 × 5,135.40
  4. Step 4: Simplify right side
    7,589.70x = 58,526,613.18
  5. Step 5: Solve for x
    x = 58,526,613.18/7,589.70
  6. Step 6: Final answer
    x = 7,711.32

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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.