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Finding the Fourth Proportional to 2,693.70, 3,717.35 and 1,645.77

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Solution

The fourth proportional to 2,693.70, 3,717.35 and 1,645.77 is: 2,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.70 : 3,717.35 = 1,645.77 : x
  2. Step 2: Convert to fraction form
    2,693.70/3,717.35 = 1,645.77/x
  3. Step 3: Cross multiply
    2,693.70x = 3,717.35 × 1,645.77
  4. Step 4: Simplify right side
    2,693.70x = 6,117,894.88
  5. Step 5: Solve for x
    x = 6,117,894.88/2,693.70
  6. Step 6: Final answer
    x = 2,271.19

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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.