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Finding the Fourth Proportional to 9,718.70, 13,353.68 and 7,725.80

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Solution

The fourth proportional to 9,718.70, 13,353.68 and 7,725.80 is: 10,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.70 : 13,353.68 = 7,725.80 : x
  2. Step 2: Convert to fraction form
    9,718.70/13,353.68 = 7,725.80/x
  3. Step 3: Cross multiply
    9,718.70x = 13,353.68 × 7,725.80
  4. Step 4: Simplify right side
    9,718.70x = 103,167,755.55
  5. Step 5: Solve for x
    x = 103,167,755.55/9,718.70
  6. Step 6: Final answer
    x = 10,615.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.