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Finding the Fourth Proportional to 7,756.91, 11,636.43 and 2,490.67

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Solution

The fourth proportional to 7,756.91, 11,636.43 and 2,490.67 is: 3,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.91 : 11,636.43 = 2,490.67 : x
  2. Step 2: Convert to fraction form
    7,756.91/11,636.43 = 2,490.67/x
  3. Step 3: Cross multiply
    7,756.91x = 11,636.43 × 2,490.67
  4. Step 4: Simplify right side
    7,756.91x = 28,982,566.06
  5. Step 5: Solve for x
    x = 28,982,566.06/7,756.91
  6. Step 6: Final answer
    x = 3,736.35

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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.