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Finding the Fourth Proportional to 2,649.54, 3,655.51 and 1,530.33

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Solution

The fourth proportional to 2,649.54, 3,655.51 and 1,530.33 is: 2,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.54 : 3,655.51 = 1,530.33 : x
  2. Step 2: Convert to fraction form
    2,649.54/3,655.51 = 1,530.33/x
  3. Step 3: Cross multiply
    2,649.54x = 3,655.51 × 1,530.33
  4. Step 4: Simplify right side
    2,649.54x = 5,594,136.62
  5. Step 5: Solve for x
    x = 5,594,136.62/2,649.54
  6. Step 6: Final answer
    x = 2,111.36

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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.