Home / 1,433.42-2,153.70-913.67

Finding the Fourth Proportional to 1,433.42, 2,153.70 and 913.67

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Solution

The fourth proportional to 1,433.42, 2,153.70 and 913.67 is: 1,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.42 : 2,153.70 = 913.67 : x
  2. Step 2: Convert to fraction form
    1,433.42/2,153.70 = 913.67/x
  3. Step 3: Cross multiply
    1,433.42x = 2,153.70 × 913.67
  4. Step 4: Simplify right side
    1,433.42x = 1,967,760.31
  5. Step 5: Solve for x
    x = 1,967,760.31/1,433.42
  6. Step 6: Final answer
    x = 1,372.78

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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.