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Finding the Fourth Proportional to 1,804.80, 2,709.12 and 1,712.64

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Solution

The fourth proportional to 1,804.80, 2,709.12 and 1,712.64 is: 2,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.80 : 2,709.12 = 1,712.64 : x
  2. Step 2: Convert to fraction form
    1,804.80/2,709.12 = 1,712.64/x
  3. Step 3: Cross multiply
    1,804.80x = 2,709.12 × 1,712.64
  4. Step 4: Simplify right side
    1,804.80x = 4,639,747.28
  5. Step 5: Solve for x
    x = 4,639,747.28/1,804.80
  6. Step 6: Final answer
    x = 2,570.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.