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Finding the Fourth Proportional to 9,777.88, 13,489.94 and 6,422.50

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Solution

The fourth proportional to 9,777.88, 13,489.94 and 6,422.50 is: 8,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.88 : 13,489.94 = 6,422.50 : x
  2. Step 2: Convert to fraction form
    9,777.88/13,489.94 = 6,422.50/x
  3. Step 3: Cross multiply
    9,777.88x = 13,489.94 × 6,422.50
  4. Step 4: Simplify right side
    9,777.88x = 86,639,139.65
  5. Step 5: Solve for x
    x = 86,639,139.65/9,777.88
  6. Step 6: Final answer
    x = 8,860.73

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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.