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Finding the Fourth Proportional to 1,788.81, 2,469.22 and 1,345.95

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Solution

The fourth proportional to 1,788.81, 2,469.22 and 1,345.95 is: 1,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.81 : 2,469.22 = 1,345.95 : x
  2. Step 2: Convert to fraction form
    1,788.81/2,469.22 = 1,345.95/x
  3. Step 3: Cross multiply
    1,788.81x = 2,469.22 × 1,345.95
  4. Step 4: Simplify right side
    1,788.81x = 3,323,427.58
  5. Step 5: Solve for x
    x = 3,323,427.58/1,788.81
  6. Step 6: Final answer
    x = 1,857.90

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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.