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Finding the Fourth Proportional to 1,972.17, 2,958.75 and 739.67

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Solution

The fourth proportional to 1,972.17, 2,958.75 and 739.67 is: 1,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.17 : 2,958.75 = 739.67 : x
  2. Step 2: Convert to fraction form
    1,972.17/2,958.75 = 739.67/x
  3. Step 3: Cross multiply
    1,972.17x = 2,958.75 × 739.67
  4. Step 4: Simplify right side
    1,972.17x = 2,188,483.82
  5. Step 5: Solve for x
    x = 2,188,483.82/1,972.17
  6. Step 6: Final answer
    x = 1,109.68

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1.5x scale

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.