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Finding the Fourth Proportional to 7,662.25, 10,566.10 and 6,402.75

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Solution

The fourth proportional to 7,662.25, 10,566.10 and 6,402.75 is: 8,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.25 : 10,566.10 = 6,402.75 : x
  2. Step 2: Convert to fraction form
    7,662.25/10,566.10 = 6,402.75/x
  3. Step 3: Cross multiply
    7,662.25x = 10,566.10 × 6,402.75
  4. Step 4: Simplify right side
    7,662.25x = 67,652,029.14
  5. Step 5: Solve for x
    x = 67,652,029.14/7,662.25
  6. Step 6: Final answer
    x = 8,829.27

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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.