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Finding the Fourth Proportional to 2,138, 2,950.58 and 1,206.50

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Solution

The fourth proportional to 2,138, 2,950.58 and 1,206.50 is: 1,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 2,950.58 = 1,206.50 : x
  2. Step 2: Convert to fraction form
    2,138/2,950.58 = 1,206.50/x
  3. Step 3: Cross multiply
    2,138x = 2,950.58 × 1,206.50
  4. Step 4: Simplify right side
    2,138x = 3,559,868.74
  5. Step 5: Solve for x
    x = 3,559,868.74/2,138
  6. Step 6: Final answer
    x = 1,665.05

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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.