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Finding the Fourth Proportional to 1,486.83, 2,214.54 and 1,408.77

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Solution

The fourth proportional to 1,486.83, 2,214.54 and 1,408.77 is: 2,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.83 : 2,214.54 = 1,408.77 : x
  2. Step 2: Convert to fraction form
    1,486.83/2,214.54 = 1,408.77/x
  3. Step 3: Cross multiply
    1,486.83x = 2,214.54 × 1,408.77
  4. Step 4: Simplify right side
    1,486.83x = 3,119,777.52
  5. Step 5: Solve for x
    x = 3,119,777.52/1,486.83
  6. Step 6: Final answer
    x = 2,098.27

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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.