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Finding the Fourth Proportional to 3,788.58, 5,228.16 and 2,109.93

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Solution

The fourth proportional to 3,788.58, 5,228.16 and 2,109.93 is: 2,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.58 : 5,228.16 = 2,109.93 : x
  2. Step 2: Convert to fraction form
    3,788.58/5,228.16 = 2,109.93/x
  3. Step 3: Cross multiply
    3,788.58x = 5,228.16 × 2,109.93
  4. Step 4: Simplify right side
    3,788.58x = 11,031,051.63
  5. Step 5: Solve for x
    x = 11,031,051.63/3,788.58
  6. Step 6: Final answer
    x = 2,911.66

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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.