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Finding the Fourth Proportional to 1,428.63, 1,971.21 and 838.85

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Solution

The fourth proportional to 1,428.63, 1,971.21 and 838.85 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.63 : 1,971.21 = 838.85 : x
  2. Step 2: Convert to fraction form
    1,428.63/1,971.21 = 838.85/x
  3. Step 3: Cross multiply
    1,428.63x = 1,971.21 × 838.85
  4. Step 4: Simplify right side
    1,428.63x = 1,653,539.65
  5. Step 5: Solve for x
    x = 1,653,539.65/1,428.63
  6. Step 6: Final answer
    x = 1,157.43

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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.