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Finding the Fourth Proportional to 1,754.76, 2,419.20 and 1,505

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Solution

The fourth proportional to 1,754.76, 2,419.20 and 1,505 is: 2,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.76 : 2,419.20 = 1,505 : x
  2. Step 2: Convert to fraction form
    1,754.76/2,419.20 = 1,505/x
  3. Step 3: Cross multiply
    1,754.76x = 2,419.20 × 1,505
  4. Step 4: Simplify right side
    1,754.76x = 3,640,896.00
  5. Step 5: Solve for x
    x = 3,640,896.00/1,754.76
  6. Step 6: Final answer
    x = 2,074.87

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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.