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Finding the Fourth Proportional to 2,644.89, 3,646.50 and 1,648.44

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Solution

The fourth proportional to 2,644.89, 3,646.50 and 1,648.44 is: 2,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.89 : 3,646.50 = 1,648.44 : x
  2. Step 2: Convert to fraction form
    2,644.89/3,646.50 = 1,648.44/x
  3. Step 3: Cross multiply
    2,644.89x = 3,646.50 × 1,648.44
  4. Step 4: Simplify right side
    2,644.89x = 6,011,036.46
  5. Step 5: Solve for x
    x = 6,011,036.46/2,644.89
  6. Step 6: Final answer
    x = 2,272.70

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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.