Home / 1,424.85-2,140.68-931.67

Finding the Fourth Proportional to 1,424.85, 2,140.68 and 931.67

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Solution

The fourth proportional to 1,424.85, 2,140.68 and 931.67 is: 1,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.85 : 2,140.68 = 931.67 : x
  2. Step 2: Convert to fraction form
    1,424.85/2,140.68 = 931.67/x
  3. Step 3: Cross multiply
    1,424.85x = 2,140.68 × 931.67
  4. Step 4: Simplify right side
    1,424.85x = 1,994,396.63
  5. Step 5: Solve for x
    x = 1,994,396.63/1,424.85
  6. Step 6: Final answer
    x = 1,399.72

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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.