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Finding the Fourth Proportional to 7,658.05, 11,465.17 and 5,188.49

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Solution

The fourth proportional to 7,658.05, 11,465.17 and 5,188.49 is: 7,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.05 : 11,465.17 = 5,188.49 : x
  2. Step 2: Convert to fraction form
    7,658.05/11,465.17 = 5,188.49/x
  3. Step 3: Cross multiply
    7,658.05x = 11,465.17 × 5,188.49
  4. Step 4: Simplify right side
    7,658.05x = 59,486,907.18
  5. Step 5: Solve for x
    x = 59,486,907.18/7,658.05
  6. Step 6: Final answer
    x = 7,767.89

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1.5x scale

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.