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Finding the Fourth Proportional to 9,179, 12,667.02 and 4,987.34

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Solution

The fourth proportional to 9,179, 12,667.02 and 4,987.34 is: 6,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179 : 12,667.02 = 4,987.34 : x
  2. Step 2: Convert to fraction form
    9,179/12,667.02 = 4,987.34/x
  3. Step 3: Cross multiply
    9,179x = 12,667.02 × 4,987.34
  4. Step 4: Simplify right side
    9,179x = 63,174,735.53
  5. Step 5: Solve for x
    x = 63,174,735.53/9,179
  6. Step 6: Final answer
    x = 6,882.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.