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Finding the Fourth Proportional to 1,619.71, 2,234.19 and 1,222

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Solution

The fourth proportional to 1,619.71, 2,234.19 and 1,222 is: 1,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.71 : 2,234.19 = 1,222 : x
  2. Step 2: Convert to fraction form
    1,619.71/2,234.19 = 1,222/x
  3. Step 3: Cross multiply
    1,619.71x = 2,234.19 × 1,222
  4. Step 4: Simplify right side
    1,619.71x = 2,730,180.18
  5. Step 5: Solve for x
    x = 2,730,180.18/1,619.71
  6. Step 6: Final answer
    x = 1,685.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.