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Finding the Fourth Proportional to 1,859.94, 2,790.15 and 1,642.62

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Solution

The fourth proportional to 1,859.94, 2,790.15 and 1,642.62 is: 2,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.94 : 2,790.15 = 1,642.62 : x
  2. Step 2: Convert to fraction form
    1,859.94/2,790.15 = 1,642.62/x
  3. Step 3: Cross multiply
    1,859.94x = 2,790.15 × 1,642.62
  4. Step 4: Simplify right side
    1,859.94x = 4,583,156.19
  5. Step 5: Solve for x
    x = 4,583,156.19/1,859.94
  6. Step 6: Final answer
    x = 2,464.14

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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.