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Finding the Fourth Proportional to 2,091, 3,146.99 and 1,573.68

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Solution

The fourth proportional to 2,091, 3,146.99 and 1,573.68 is: 2,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 3,146.99 = 1,573.68 : x
  2. Step 2: Convert to fraction form
    2,091/3,146.99 = 1,573.68/x
  3. Step 3: Cross multiply
    2,091x = 3,146.99 × 1,573.68
  4. Step 4: Simplify right side
    2,091x = 4,952,355.22
  5. Step 5: Solve for x
    x = 4,952,355.22/2,091
  6. Step 6: Final answer
    x = 2,368.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.