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Finding the Fourth Proportional to 7,670, 11,507.70 and 3,777.14

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Solution

The fourth proportional to 7,670, 11,507.70 and 3,777.14 is: 5,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 11,507.70 = 3,777.14 : x
  2. Step 2: Convert to fraction form
    7,670/11,507.70 = 3,777.14/x
  3. Step 3: Cross multiply
    7,670x = 11,507.70 × 3,777.14
  4. Step 4: Simplify right side
    7,670x = 43,466,193.98
  5. Step 5: Solve for x
    x = 43,466,193.98/7,670
  6. Step 6: Final answer
    x = 5,667.04

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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.