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Finding the Fourth Proportional to 7,882.86, 10,894.02 and 6,464.34

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Solution

The fourth proportional to 7,882.86, 10,894.02 and 6,464.34 is: 8,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.86 : 10,894.02 = 6,464.34 : x
  2. Step 2: Convert to fraction form
    7,882.86/10,894.02 = 6,464.34/x
  3. Step 3: Cross multiply
    7,882.86x = 10,894.02 × 6,464.34
  4. Step 4: Simplify right side
    7,882.86x = 70,422,649.25
  5. Step 5: Solve for x
    x = 70,422,649.25/7,882.86
  6. Step 6: Final answer
    x = 8,933.64

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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.