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Finding the Fourth Proportional to 2,714, 3,745.74 and 1,666.70

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Solution

The fourth proportional to 2,714, 3,745.74 and 1,666.70 is: 2,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714 : 3,745.74 = 1,666.70 : x
  2. Step 2: Convert to fraction form
    2,714/3,745.74 = 1,666.70/x
  3. Step 3: Cross multiply
    2,714x = 3,745.74 × 1,666.70
  4. Step 4: Simplify right side
    2,714x = 6,243,024.86
  5. Step 5: Solve for x
    x = 6,243,024.86/2,714
  6. Step 6: Final answer
    x = 2,300.30

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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.