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Finding the Fourth Proportional to 1,777.76, 2,650.20 and 1,749.68

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Solution

The fourth proportional to 1,777.76, 2,650.20 and 1,749.68 is: 2,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.76 : 2,650.20 = 1,749.68 : x
  2. Step 2: Convert to fraction form
    1,777.76/2,650.20 = 1,749.68/x
  3. Step 3: Cross multiply
    1,777.76x = 2,650.20 × 1,749.68
  4. Step 4: Simplify right side
    1,777.76x = 4,637,001.94
  5. Step 5: Solve for x
    x = 4,637,001.94/1,777.76
  6. Step 6: Final answer
    x = 2,608.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.