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Finding the Fourth Proportional to 7,708.88, 11,569.08 and 3,607.76

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Solution

The fourth proportional to 7,708.88, 11,569.08 and 3,607.76 is: 5,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.88 : 11,569.08 = 3,607.76 : x
  2. Step 2: Convert to fraction form
    7,708.88/11,569.08 = 3,607.76/x
  3. Step 3: Cross multiply
    7,708.88x = 11,569.08 × 3,607.76
  4. Step 4: Simplify right side
    7,708.88x = 41,738,464.06
  5. Step 5: Solve for x
    x = 41,738,464.06/7,708.88
  6. Step 6: Final answer
    x = 5,414.34

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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.