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Finding the Fourth Proportional to 1,408.80, 2,103.02 and 1,236

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Solution

The fourth proportional to 1,408.80, 2,103.02 and 1,236 is: 1,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.80 : 2,103.02 = 1,236 : x
  2. Step 2: Convert to fraction form
    1,408.80/2,103.02 = 1,236/x
  3. Step 3: Cross multiply
    1,408.80x = 2,103.02 × 1,236
  4. Step 4: Simplify right side
    1,408.80x = 2,599,332.72
  5. Step 5: Solve for x
    x = 2,599,332.72/1,408.80
  6. Step 6: Final answer
    x = 1,845.07

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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.