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Finding the Fourth Proportional to 1,392.66, 2,078.19 and 1,228.23

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Solution

The fourth proportional to 1,392.66, 2,078.19 and 1,228.23 is: 1,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.66 : 2,078.19 = 1,228.23 : x
  2. Step 2: Convert to fraction form
    1,392.66/2,078.19 = 1,228.23/x
  3. Step 3: Cross multiply
    1,392.66x = 2,078.19 × 1,228.23
  4. Step 4: Simplify right side
    1,392.66x = 2,552,495.30
  5. Step 5: Solve for x
    x = 2,552,495.30/1,392.66
  6. Step 6: Final answer
    x = 1,832.82

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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.