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Finding the Fourth Proportional to 7,708.53, 11,495.18 and 7,638.41

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Solution

The fourth proportional to 7,708.53, 11,495.18 and 7,638.41 is: 11,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.53 : 11,495.18 = 7,638.41 : x
  2. Step 2: Convert to fraction form
    7,708.53/11,495.18 = 7,638.41/x
  3. Step 3: Cross multiply
    7,708.53x = 11,495.18 × 7,638.41
  4. Step 4: Simplify right side
    7,708.53x = 87,804,859.67
  5. Step 5: Solve for x
    x = 87,804,859.67/7,708.53
  6. Step 6: Final answer
    x = 11,390.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.