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Finding the Fourth Proportional to 7,706.88, 11,564.37 and 7,569.54

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Solution

The fourth proportional to 7,706.88, 11,564.37 and 7,569.54 is: 11,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.88 : 11,564.37 = 7,569.54 : x
  2. Step 2: Convert to fraction form
    7,706.88/11,564.37 = 7,569.54/x
  3. Step 3: Cross multiply
    7,706.88x = 11,564.37 × 7,569.54
  4. Step 4: Simplify right side
    7,706.88x = 87,536,961.29
  5. Step 5: Solve for x
    x = 87,536,961.29/7,706.88
  6. Step 6: Final answer
    x = 11,358.29

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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.