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Finding the Fourth Proportional to 2,137.95, 2,950.29 and 1,206.45

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Solution

The fourth proportional to 2,137.95, 2,950.29 and 1,206.45 is: 1,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.95 : 2,950.29 = 1,206.45 : x
  2. Step 2: Convert to fraction form
    2,137.95/2,950.29 = 1,206.45/x
  3. Step 3: Cross multiply
    2,137.95x = 2,950.29 × 1,206.45
  4. Step 4: Simplify right side
    2,137.95x = 3,559,377.37
  5. Step 5: Solve for x
    x = 3,559,377.37/2,137.95
  6. Step 6: Final answer
    x = 1,664.86

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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.