Home / 1,542.83-2,129.11-834.67

Finding the Fourth Proportional to 1,542.83, 2,129.11 and 834.67

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Solution

The fourth proportional to 1,542.83, 2,129.11 and 834.67 is: 1,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.83 : 2,129.11 = 834.67 : x
  2. Step 2: Convert to fraction form
    1,542.83/2,129.11 = 834.67/x
  3. Step 3: Cross multiply
    1,542.83x = 2,129.11 × 834.67
  4. Step 4: Simplify right side
    1,542.83x = 1,777,089.42
  5. Step 5: Solve for x
    x = 1,777,089.42/1,542.83
  6. Step 6: Final answer
    x = 1,151.84

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1.5x scale

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.