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Finding the Fourth Proportional to 1,815.81, 2,719.29 and 1,640.51

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Solution

The fourth proportional to 1,815.81, 2,719.29 and 1,640.51 is: 2,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.81 : 2,719.29 = 1,640.51 : x
  2. Step 2: Convert to fraction form
    1,815.81/2,719.29 = 1,640.51/x
  3. Step 3: Cross multiply
    1,815.81x = 2,719.29 × 1,640.51
  4. Step 4: Simplify right side
    1,815.81x = 4,461,008.84
  5. Step 5: Solve for x
    x = 4,461,008.84/1,815.81
  6. Step 6: Final answer
    x = 2,456.76

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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.