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Finding the Fourth Proportional to 2,749.64, 4,124.43 and 669.63

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Solution

The fourth proportional to 2,749.64, 4,124.43 and 669.63 is: 1,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.64 : 4,124.43 = 669.63 : x
  2. Step 2: Convert to fraction form
    2,749.64/4,124.43 = 669.63/x
  3. Step 3: Cross multiply
    2,749.64x = 4,124.43 × 669.63
  4. Step 4: Simplify right side
    2,749.64x = 2,761,842.06
  5. Step 5: Solve for x
    x = 2,761,842.06/2,749.64
  6. Step 6: Final answer
    x = 1,004.44

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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.