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Finding the Fourth Proportional to 9,713.88, 13,381.74 and 7,723.80

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Solution

The fourth proportional to 9,713.88, 13,381.74 and 7,723.80 is: 10,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.88 : 13,381.74 = 7,723.80 : x
  2. Step 2: Convert to fraction form
    9,713.88/13,381.74 = 7,723.80/x
  3. Step 3: Cross multiply
    9,713.88x = 13,381.74 × 7,723.80
  4. Step 4: Simplify right side
    9,713.88x = 103,357,883.41
  5. Step 5: Solve for x
    x = 103,357,883.41/9,713.88
  6. Step 6: Final answer
    x = 10,640.23

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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.