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Finding the Fourth Proportional to 9,716.72, 13,376.64 and 9,270.38

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Solution

The fourth proportional to 9,716.72, 13,376.64 and 9,270.38 is: 12,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.72 : 13,376.64 = 9,270.38 : x
  2. Step 2: Convert to fraction form
    9,716.72/13,376.64 = 9,270.38/x
  3. Step 3: Cross multiply
    9,716.72x = 13,376.64 × 9,270.38
  4. Step 4: Simplify right side
    9,716.72x = 124,006,469.04
  5. Step 5: Solve for x
    x = 124,006,469.04/9,716.72
  6. Step 6: Final answer
    x = 12,762.18

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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.