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Finding the Fourth Proportional to 1,970.53, 2,699.61 and 1,896.67

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Solution

The fourth proportional to 1,970.53, 2,699.61 and 1,896.67 is: 2,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.53 : 2,699.61 = 1,896.67 : x
  2. Step 2: Convert to fraction form
    1,970.53/2,699.61 = 1,896.67/x
  3. Step 3: Cross multiply
    1,970.53x = 2,699.61 × 1,896.67
  4. Step 4: Simplify right side
    1,970.53x = 5,120,269.30
  5. Step 5: Solve for x
    x = 5,120,269.30/1,970.53
  6. Step 6: Final answer
    x = 2,598.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.