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Finding the Fourth Proportional to 4,645.54, 6,409.69 and 2,655.78

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Solution

The fourth proportional to 4,645.54, 6,409.69 and 2,655.78 is: 3,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.54 : 6,409.69 = 2,655.78 : x
  2. Step 2: Convert to fraction form
    4,645.54/6,409.69 = 2,655.78/x
  3. Step 3: Cross multiply
    4,645.54x = 6,409.69 × 2,655.78
  4. Step 4: Simplify right side
    4,645.54x = 17,022,726.51
  5. Step 5: Solve for x
    x = 17,022,726.51/4,645.54
  6. Step 6: Final answer
    x = 3,664.32

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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.