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Finding the Fourth Proportional to 2,745.90, 3,789 and 1,566.99

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Solution

The fourth proportional to 2,745.90, 3,789 and 1,566.99 is: 2,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.90 : 3,789 = 1,566.99 : x
  2. Step 2: Convert to fraction form
    2,745.90/3,789 = 1,566.99/x
  3. Step 3: Cross multiply
    2,745.90x = 3,789 × 1,566.99
  4. Step 4: Simplify right side
    2,745.90x = 5,937,325.11
  5. Step 5: Solve for x
    x = 5,937,325.11/2,745.90
  6. Step 6: Final answer
    x = 2,162.25

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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.