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Finding the Fourth Proportional to 8,575, 11,843.22 and 5,775.64

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Solution

The fourth proportional to 8,575, 11,843.22 and 5,775.64 is: 7,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575 : 11,843.22 = 5,775.64 : x
  2. Step 2: Convert to fraction form
    8,575/11,843.22 = 5,775.64/x
  3. Step 3: Cross multiply
    8,575x = 11,843.22 × 5,775.64
  4. Step 4: Simplify right side
    8,575x = 68,402,175.16
  5. Step 5: Solve for x
    x = 68,402,175.16/8,575
  6. Step 6: Final answer
    x = 7,976.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.