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Finding the Fourth Proportional to 9,777.69, 13,489.68 and 6,422.32

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Solution

The fourth proportional to 9,777.69, 13,489.68 and 6,422.32 is: 8,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.69 : 13,489.68 = 6,422.32 : x
  2. Step 2: Convert to fraction form
    9,777.69/13,489.68 = 6,422.32/x
  3. Step 3: Cross multiply
    9,777.69x = 13,489.68 × 6,422.32
  4. Step 4: Simplify right side
    9,777.69x = 86,635,041.66
  5. Step 5: Solve for x
    x = 86,635,041.66/9,777.69
  6. Step 6: Final answer
    x = 8,860.48

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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.