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Finding the Fourth Proportional to 2,644.45, 3,647.73 and 1,748.18

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Solution

The fourth proportional to 2,644.45, 3,647.73 and 1,748.18 is: 2,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.45 : 3,647.73 = 1,748.18 : x
  2. Step 2: Convert to fraction form
    2,644.45/3,647.73 = 1,748.18/x
  3. Step 3: Cross multiply
    2,644.45x = 3,647.73 × 1,748.18
  4. Step 4: Simplify right side
    2,644.45x = 6,376,904.31
  5. Step 5: Solve for x
    x = 6,376,904.31/2,644.45
  6. Step 6: Final answer
    x = 2,411.43

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1.5x scale

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.