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Finding the Fourth Proportional to 9,788, 14,682.24 and 2,492

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Solution

The fourth proportional to 9,788, 14,682.24 and 2,492 is: 3,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788 : 14,682.24 = 2,492 : x
  2. Step 2: Convert to fraction form
    9,788/14,682.24 = 2,492/x
  3. Step 3: Cross multiply
    9,788x = 14,682.24 × 2,492
  4. Step 4: Simplify right side
    9,788x = 36,588,142.08
  5. Step 5: Solve for x
    x = 36,588,142.08/9,788
  6. Step 6: Final answer
    x = 3,738.06

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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.