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Finding the Fourth Proportional to 2,977, 4,465.02 and 2,108.68

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Solution

The fourth proportional to 2,977, 4,465.02 and 2,108.68 is: 3,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977 : 4,465.02 = 2,108.68 : x
  2. Step 2: Convert to fraction form
    2,977/4,465.02 = 2,108.68/x
  3. Step 3: Cross multiply
    2,977x = 4,465.02 × 2,108.68
  4. Step 4: Simplify right side
    2,977x = 9,415,298.37
  5. Step 5: Solve for x
    x = 9,415,298.37/2,977
  6. Step 6: Final answer
    x = 3,162.68

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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.