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Finding the Fourth Proportional to 2,004.24, 3,005.88 and 543.51

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Solution

The fourth proportional to 2,004.24, 3,005.88 and 543.51 is: 815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.24 : 3,005.88 = 543.51 : x
  2. Step 2: Convert to fraction form
    2,004.24/3,005.88 = 543.51/x
  3. Step 3: Cross multiply
    2,004.24x = 3,005.88 × 543.51
  4. Step 4: Simplify right side
    2,004.24x = 1,633,725.84
  5. Step 5: Solve for x
    x = 1,633,725.84/2,004.24
  6. Step 6: Final answer
    x = 815.13

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1.5x scale

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.