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Finding the Fourth Proportional to 9,175.91, 12,657.04 and 7,638.91

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Solution

The fourth proportional to 9,175.91, 12,657.04 and 7,638.91 is: 10,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.91 : 12,657.04 = 7,638.91 : x
  2. Step 2: Convert to fraction form
    9,175.91/12,657.04 = 7,638.91/x
  3. Step 3: Cross multiply
    9,175.91x = 12,657.04 × 7,638.91
  4. Step 4: Simplify right side
    9,175.91x = 96,685,938.69
  5. Step 5: Solve for x
    x = 96,685,938.69/9,175.91
  6. Step 6: Final answer
    x = 10,536.94

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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.