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Finding the Fourth Proportional to 2,645.03, 3,648.57 and 1,649.54

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Solution

The fourth proportional to 2,645.03, 3,648.57 and 1,649.54 is: 2,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.03 : 3,648.57 = 1,649.54 : x
  2. Step 2: Convert to fraction form
    2,645.03/3,648.57 = 1,649.54/x
  3. Step 3: Cross multiply
    2,645.03x = 3,648.57 × 1,649.54
  4. Step 4: Simplify right side
    2,645.03x = 6,018,462.16
  5. Step 5: Solve for x
    x = 6,018,462.16/2,645.03
  6. Step 6: Final answer
    x = 2,275.39

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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.