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Finding the Fourth Proportional to 1,777.92, 2,664.48 and 1,127.52

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Solution

The fourth proportional to 1,777.92, 2,664.48 and 1,127.52 is: 1,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.92 : 2,664.48 = 1,127.52 : x
  2. Step 2: Convert to fraction form
    1,777.92/2,664.48 = 1,127.52/x
  3. Step 3: Cross multiply
    1,777.92x = 2,664.48 × 1,127.52
  4. Step 4: Simplify right side
    1,777.92x = 3,004,254.49
  5. Step 5: Solve for x
    x = 3,004,254.49/1,777.92
  6. Step 6: Final answer
    x = 1,689.76

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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.