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Finding the Fourth Proportional to 27,681, 41,521.50 and 9,213

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Solution

The fourth proportional to 27,681, 41,521.50 and 9,213 is: 13,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681 : 41,521.50 = 9,213 : x
  2. Step 2: Convert to fraction form
    27,681/41,521.50 = 9,213/x
  3. Step 3: Cross multiply
    27,681x = 41,521.50 × 9,213
  4. Step 4: Simplify right side
    27,681x = 382,537,579.50
  5. Step 5: Solve for x
    x = 382,537,579.50/27,681
  6. Step 6: Final answer
    x = 13,819.50

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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.