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Finding the Fourth Proportional to 7,564.88, 11,347.44 and 3,856.64

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Solution

The fourth proportional to 7,564.88, 11,347.44 and 3,856.64 is: 5,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.88 : 11,347.44 = 3,856.64 : x
  2. Step 2: Convert to fraction form
    7,564.88/11,347.44 = 3,856.64/x
  3. Step 3: Cross multiply
    7,564.88x = 11,347.44 × 3,856.64
  4. Step 4: Simplify right side
    7,564.88x = 43,762,991.00
  5. Step 5: Solve for x
    x = 43,762,991.00/7,564.88
  6. Step 6: Final answer
    x = 5,785.02

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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.