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Finding the Fourth Proportional to 7,600, 11,390.64 and 5,396.80

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Solution

The fourth proportional to 7,600, 11,390.64 and 5,396.80 is: 8,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600 : 11,390.64 = 5,396.80 : x
  2. Step 2: Convert to fraction form
    7,600/11,390.64 = 5,396.80/x
  3. Step 3: Cross multiply
    7,600x = 11,390.64 × 5,396.80
  4. Step 4: Simplify right side
    7,600x = 61,473,005.95
  5. Step 5: Solve for x
    x = 61,473,005.95/7,600
  6. Step 6: Final answer
    x = 8,088.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.