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Finding the Fourth Proportional to 1,815.71, 2,707.62 and 1,800.07

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Solution

The fourth proportional to 1,815.71, 2,707.62 and 1,800.07 is: 2,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.71 : 2,707.62 = 1,800.07 : x
  2. Step 2: Convert to fraction form
    1,815.71/2,707.62 = 1,800.07/x
  3. Step 3: Cross multiply
    1,815.71x = 2,707.62 × 1,800.07
  4. Step 4: Simplify right side
    1,815.71x = 4,873,905.53
  5. Step 5: Solve for x
    x = 4,873,905.53/1,815.71
  6. Step 6: Final answer
    x = 2,684.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.