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Finding the Fourth Proportional to 18,133.24, 27,167.68 and 7,580

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Solution

The fourth proportional to 18,133.24, 27,167.68 and 7,580 is: 11,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.24 : 27,167.68 = 7,580 : x
  2. Step 2: Convert to fraction form
    18,133.24/27,167.68 = 7,580/x
  3. Step 3: Cross multiply
    18,133.24x = 27,167.68 × 7,580
  4. Step 4: Simplify right side
    18,133.24x = 205,931,014.40
  5. Step 5: Solve for x
    x = 205,931,014.40/18,133.24
  6. Step 6: Final answer
    x = 11,356.55

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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.