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Finding the Fourth Proportional to 2,969.66, 4,098.80 and 1,790.51

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Solution

The fourth proportional to 2,969.66, 4,098.80 and 1,790.51 is: 2,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.66 : 4,098.80 = 1,790.51 : x
  2. Step 2: Convert to fraction form
    2,969.66/4,098.80 = 1,790.51/x
  3. Step 3: Cross multiply
    2,969.66x = 4,098.80 × 1,790.51
  4. Step 4: Simplify right side
    2,969.66x = 7,338,926.37
  5. Step 5: Solve for x
    x = 7,338,926.37/2,969.66
  6. Step 6: Final answer
    x = 2,471.30

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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.