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Finding the Fourth Proportional to 2,137.88, 2,950.19 and 1,193.72

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Solution

The fourth proportional to 2,137.88, 2,950.19 and 1,193.72 is: 1,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.88 : 2,950.19 = 1,193.72 : x
  2. Step 2: Convert to fraction form
    2,137.88/2,950.19 = 1,193.72/x
  3. Step 3: Cross multiply
    2,137.88x = 2,950.19 × 1,193.72
  4. Step 4: Simplify right side
    2,137.88x = 3,521,700.81
  5. Step 5: Solve for x
    x = 3,521,700.81/2,137.88
  6. Step 6: Final answer
    x = 1,647.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.