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Finding the Fourth Proportional to 7,782.26, 11,604.85 and 7,712.06

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Solution

The fourth proportional to 7,782.26, 11,604.85 and 7,712.06 is: 11,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.26 : 11,604.85 = 7,712.06 : x
  2. Step 2: Convert to fraction form
    7,782.26/11,604.85 = 7,712.06/x
  3. Step 3: Cross multiply
    7,782.26x = 11,604.85 × 7,712.06
  4. Step 4: Simplify right side
    7,782.26x = 89,497,299.49
  5. Step 5: Solve for x
    x = 89,497,299.49/7,782.26
  6. Step 6: Final answer
    x = 11,500.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.