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Finding the Fourth Proportional to 2,135.22, 2,946.75 and 1,295.96

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Solution

The fourth proportional to 2,135.22, 2,946.75 and 1,295.96 is: 1,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.22 : 2,946.75 = 1,295.96 : x
  2. Step 2: Convert to fraction form
    2,135.22/2,946.75 = 1,295.96/x
  3. Step 3: Cross multiply
    2,135.22x = 2,946.75 × 1,295.96
  4. Step 4: Simplify right side
    2,135.22x = 3,818,855.40
  5. Step 5: Solve for x
    x = 3,818,855.40/2,135.22
  6. Step 6: Final answer
    x = 1,788.51

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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.