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Finding the Fourth Proportional to 27,985.16, 41,978.06 and 11,972.52

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Solution

The fourth proportional to 27,985.16, 41,978.06 and 11,972.52 is: 17,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.16 : 41,978.06 = 11,972.52 : x
  2. Step 2: Convert to fraction form
    27,985.16/41,978.06 = 11,972.52/x
  3. Step 3: Cross multiply
    27,985.16x = 41,978.06 × 11,972.52
  4. Step 4: Simplify right side
    27,985.16x = 502,583,162.91
  5. Step 5: Solve for x
    x = 502,583,162.91/27,985.16
  6. Step 6: Final answer
    x = 17,958.92

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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.