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Finding the Fourth Proportional to 2,904.82, 4,008.00 and 1,645.76

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Solution

The fourth proportional to 2,904.82, 4,008.00 and 1,645.76 is: 2,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.82 : 4,008.00 = 1,645.76 : x
  2. Step 2: Convert to fraction form
    2,904.82/4,008.00 = 1,645.76/x
  3. Step 3: Cross multiply
    2,904.82x = 4,008.00 × 1,645.76
  4. Step 4: Simplify right side
    2,904.82x = 6,596,201.97
  5. Step 5: Solve for x
    x = 6,596,201.97/2,904.82
  6. Step 6: Final answer
    x = 2,270.78

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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.