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Finding the Fourth Proportional to 2,904.80, 4,009.04 and 1,645.92

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Solution

The fourth proportional to 2,904.80, 4,009.04 and 1,645.92 is: 2,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.80 : 4,009.04 = 1,645.92 : x
  2. Step 2: Convert to fraction form
    2,904.80/4,009.04 = 1,645.92/x
  3. Step 3: Cross multiply
    2,904.80x = 4,009.04 × 1,645.92
  4. Step 4: Simplify right side
    2,904.80x = 6,598,559.12
  5. Step 5: Solve for x
    x = 6,598,559.12/2,904.80
  6. Step 6: Final answer
    x = 2,271.61

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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.