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Finding the Fourth Proportional to 1,933.68, 2,898.36 and 836.40

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Solution

The fourth proportional to 1,933.68, 2,898.36 and 836.40 is: 1,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.68 : 2,898.36 = 836.40 : x
  2. Step 2: Convert to fraction form
    1,933.68/2,898.36 = 836.40/x
  3. Step 3: Cross multiply
    1,933.68x = 2,898.36 × 836.40
  4. Step 4: Simplify right side
    1,933.68x = 2,424,188.30
  5. Step 5: Solve for x
    x = 2,424,188.30/1,933.68
  6. Step 6: Final answer
    x = 1,253.67

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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.