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Finding the Fourth Proportional to 1,890.64, 2,609.15 and 1,051.58

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Solution

The fourth proportional to 1,890.64, 2,609.15 and 1,051.58 is: 1,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.64 : 2,609.15 = 1,051.58 : x
  2. Step 2: Convert to fraction form
    1,890.64/2,609.15 = 1,051.58/x
  3. Step 3: Cross multiply
    1,890.64x = 2,609.15 × 1,051.58
  4. Step 4: Simplify right side
    1,890.64x = 2,743,711.65
  5. Step 5: Solve for x
    x = 2,743,711.65/1,890.64
  6. Step 6: Final answer
    x = 1,451.21

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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.