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Finding the Fourth Proportional to 2,492.71, 3,738.89 and 1,800.63

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Solution

The fourth proportional to 2,492.71, 3,738.89 and 1,800.63 is: 2,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.71 : 3,738.89 = 1,800.63 : x
  2. Step 2: Convert to fraction form
    2,492.71/3,738.89 = 1,800.63/x
  3. Step 3: Cross multiply
    2,492.71x = 3,738.89 × 1,800.63
  4. Step 4: Simplify right side
    2,492.71x = 6,732,362.00
  5. Step 5: Solve for x
    x = 6,732,362.00/2,492.71
  6. Step 6: Final answer
    x = 2,700.82

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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.