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Finding the Fourth Proportional to 1,858.71, 2,788.53 and 1,311.96

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Solution

The fourth proportional to 1,858.71, 2,788.53 and 1,311.96 is: 1,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.71 : 2,788.53 = 1,311.96 : x
  2. Step 2: Convert to fraction form
    1,858.71/2,788.53 = 1,311.96/x
  3. Step 3: Cross multiply
    1,858.71x = 2,788.53 × 1,311.96
  4. Step 4: Simplify right side
    1,858.71x = 3,658,444.74
  5. Step 5: Solve for x
    x = 3,658,444.74/1,858.71
  6. Step 6: Final answer
    x = 1,968.27

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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.