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Finding the Fourth Proportional to 1,799.68, 2,693.94 and 975.91

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Solution

The fourth proportional to 1,799.68, 2,693.94 and 975.91 is: 1,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.68 : 2,693.94 = 975.91 : x
  2. Step 2: Convert to fraction form
    1,799.68/2,693.94 = 975.91/x
  3. Step 3: Cross multiply
    1,799.68x = 2,693.94 × 975.91
  4. Step 4: Simplify right side
    1,799.68x = 2,629,042.99
  5. Step 5: Solve for x
    x = 2,629,042.99/1,799.68
  6. Step 6: Final answer
    x = 1,460.84

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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.