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Finding the Fourth Proportional to 2,038.21, 3,057.78 and 651.66

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Solution

The fourth proportional to 2,038.21, 3,057.78 and 651.66 is: 977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.21 : 3,057.78 = 651.66 : x
  2. Step 2: Convert to fraction form
    2,038.21/3,057.78 = 651.66/x
  3. Step 3: Cross multiply
    2,038.21x = 3,057.78 × 651.66
  4. Step 4: Simplify right side
    2,038.21x = 1,992,632.91
  5. Step 5: Solve for x
    x = 1,992,632.91/2,038.21
  6. Step 6: Final answer
    x = 977.64

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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.