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Finding the Fourth Proportional to 7,589.19, 11,384.85 and 2,657.70

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Solution

The fourth proportional to 7,589.19, 11,384.85 and 2,657.70 is: 3,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.19 : 11,384.85 = 2,657.70 : x
  2. Step 2: Convert to fraction form
    7,589.19/11,384.85 = 2,657.70/x
  3. Step 3: Cross multiply
    7,589.19x = 11,384.85 × 2,657.70
  4. Step 4: Simplify right side
    7,589.19x = 30,257,515.85
  5. Step 5: Solve for x
    x = 30,257,515.85/7,589.19
  6. Step 6: Final answer
    x = 3,986.92

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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.