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Finding the Fourth Proportional to 27,215.84, 40,801.08 and 18,912

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Solution

The fourth proportional to 27,215.84, 40,801.08 and 18,912 is: 28,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.84 : 40,801.08 = 18,912 : x
  2. Step 2: Convert to fraction form
    27,215.84/40,801.08 = 18,912/x
  3. Step 3: Cross multiply
    27,215.84x = 40,801.08 × 18,912
  4. Step 4: Simplify right side
    27,215.84x = 771,630,024.96
  5. Step 5: Solve for x
    x = 771,630,024.96/27,215.84
  6. Step 6: Final answer
    x = 28,352.24

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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.