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Finding the Fourth Proportional to 2,153.76, 3,228.65 and 838.38

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Solution

The fourth proportional to 2,153.76, 3,228.65 and 838.38 is: 1,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.76 : 3,228.65 = 838.38 : x
  2. Step 2: Convert to fraction form
    2,153.76/3,228.65 = 838.38/x
  3. Step 3: Cross multiply
    2,153.76x = 3,228.65 × 838.38
  4. Step 4: Simplify right side
    2,153.76x = 2,706,835.59
  5. Step 5: Solve for x
    x = 2,706,835.59/2,153.76
  6. Step 6: Final answer
    x = 1,256.80

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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.