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Finding the Fourth Proportional to 7,655.77, 11,473.87 and 6,664.54

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Solution

The fourth proportional to 7,655.77, 11,473.87 and 6,664.54 is: 9,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.77 : 11,473.87 = 6,664.54 : x
  2. Step 2: Convert to fraction form
    7,655.77/11,473.87 = 6,664.54/x
  3. Step 3: Cross multiply
    7,655.77x = 11,473.87 × 6,664.54
  4. Step 4: Simplify right side
    7,655.77x = 76,467,974.88
  5. Step 5: Solve for x
    x = 76,467,974.88/7,655.77
  6. Step 6: Final answer
    x = 9,988.28

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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.