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Finding the Fourth Proportional to 27,080, 37,373.64 and 15,902

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Solution

The fourth proportional to 27,080, 37,373.64 and 15,902 is: 21,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080 : 37,373.64 = 15,902 : x
  2. Step 2: Convert to fraction form
    27,080/37,373.64 = 15,902/x
  3. Step 3: Cross multiply
    27,080x = 37,373.64 × 15,902
  4. Step 4: Simplify right side
    27,080x = 594,315,623.28
  5. Step 5: Solve for x
    x = 594,315,623.28/27,080
  6. Step 6: Final answer
    x = 21,946.66

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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.