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Finding the Fourth Proportional to 9,717.72, 13,378.02 and 9,271.38

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Solution

The fourth proportional to 9,717.72, 13,378.02 and 9,271.38 is: 12,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.72 : 13,378.02 = 9,271.38 : x
  2. Step 2: Convert to fraction form
    9,717.72/13,378.02 = 9,271.38/x
  3. Step 3: Cross multiply
    9,717.72x = 13,378.02 × 9,271.38
  4. Step 4: Simplify right side
    9,717.72x = 124,032,640.18
  5. Step 5: Solve for x
    x = 124,032,640.18/9,717.72
  6. Step 6: Final answer
    x = 12,763.56

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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.