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Finding the Fourth Proportional to 1,759.68, 2,634.48 and 1,395

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Solution

The fourth proportional to 1,759.68, 2,634.48 and 1,395 is: 2,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.68 : 2,634.48 = 1,395 : x
  2. Step 2: Convert to fraction form
    1,759.68/2,634.48 = 1,395/x
  3. Step 3: Cross multiply
    1,759.68x = 2,634.48 × 1,395
  4. Step 4: Simplify right side
    1,759.68x = 3,675,099.60
  5. Step 5: Solve for x
    x = 3,675,099.60/1,759.68
  6. Step 6: Final answer
    x = 2,088.50

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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.