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Finding the Fourth Proportional to 1,799.18, 2,696.91 and 975.71

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Solution

The fourth proportional to 1,799.18, 2,696.91 and 975.71 is: 1,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.18 : 2,696.91 = 975.71 : x
  2. Step 2: Convert to fraction form
    1,799.18/2,696.91 = 975.71/x
  3. Step 3: Cross multiply
    1,799.18x = 2,696.91 × 975.71
  4. Step 4: Simplify right side
    1,799.18x = 2,631,388.57
  5. Step 5: Solve for x
    x = 2,631,388.57/1,799.18
  6. Step 6: Final answer
    x = 1,462.55

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1.5x scale

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.