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Finding the Fourth Proportional to 7,774.65, 11,658.06 and 3,390.12

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Solution

The fourth proportional to 7,774.65, 11,658.06 and 3,390.12 is: 5,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.65 : 11,658.06 = 3,390.12 : x
  2. Step 2: Convert to fraction form
    7,774.65/11,658.06 = 3,390.12/x
  3. Step 3: Cross multiply
    7,774.65x = 11,658.06 × 3,390.12
  4. Step 4: Simplify right side
    7,774.65x = 39,522,222.37
  5. Step 5: Solve for x
    x = 39,522,222.37/7,774.65
  6. Step 6: Final answer
    x = 5,083.47

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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.