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Finding the Fourth Proportional to 1,610.44, 2,411.80 and 1,378

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Solution

The fourth proportional to 1,610.44, 2,411.80 and 1,378 is: 2,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.44 : 2,411.80 = 1,378 : x
  2. Step 2: Convert to fraction form
    1,610.44/2,411.80 = 1,378/x
  3. Step 3: Cross multiply
    1,610.44x = 2,411.80 × 1,378
  4. Step 4: Simplify right side
    1,610.44x = 3,323,460.40
  5. Step 5: Solve for x
    x = 3,323,460.40/1,610.44
  6. Step 6: Final answer
    x = 2,063.70

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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.