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Finding the Fourth Proportional to 9,777.86, 13,489.92 and 6,422.49

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Solution

The fourth proportional to 9,777.86, 13,489.92 and 6,422.49 is: 8,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.86 : 13,489.92 = 6,422.49 : x
  2. Step 2: Convert to fraction form
    9,777.86/13,489.92 = 6,422.49/x
  3. Step 3: Cross multiply
    9,777.86x = 13,489.92 × 6,422.49
  4. Step 4: Simplify right side
    9,777.86x = 86,638,858.24
  5. Step 5: Solve for x
    x = 86,638,858.24/9,777.86
  6. Step 6: Final answer
    x = 8,860.71

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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.