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Finding the Fourth Proportional to 27,018.72, 37,284.48 and 15,840

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Solution

The fourth proportional to 27,018.72, 37,284.48 and 15,840 is: 21,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018.72 : 37,284.48 = 15,840 : x
  2. Step 2: Convert to fraction form
    27,018.72/37,284.48 = 15,840/x
  3. Step 3: Cross multiply
    27,018.72x = 37,284.48 × 15,840
  4. Step 4: Simplify right side
    27,018.72x = 590,586,163.20
  5. Step 5: Solve for x
    x = 590,586,163.20/27,018.72
  6. Step 6: Final answer
    x = 21,858.41

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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.