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Finding the Fourth Proportional to 1,661.80, 2,492.70 and 1,491.70

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Solution

The fourth proportional to 1,661.80, 2,492.70 and 1,491.70 is: 2,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.80 : 2,492.70 = 1,491.70 : x
  2. Step 2: Convert to fraction form
    1,661.80/2,492.70 = 1,491.70/x
  3. Step 3: Cross multiply
    1,661.80x = 2,492.70 × 1,491.70
  4. Step 4: Simplify right side
    1,661.80x = 3,718,360.59
  5. Step 5: Solve for x
    x = 3,718,360.59/1,661.80
  6. Step 6: Final answer
    x = 2,237.55

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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.