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Finding the Fourth Proportional to 1,501.81, 2,072.54 and 838.70

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Solution

The fourth proportional to 1,501.81, 2,072.54 and 838.70 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.81 : 2,072.54 = 838.70 : x
  2. Step 2: Convert to fraction form
    1,501.81/2,072.54 = 838.70/x
  3. Step 3: Cross multiply
    1,501.81x = 2,072.54 × 838.70
  4. Step 4: Simplify right side
    1,501.81x = 1,738,240.29
  5. Step 5: Solve for x
    x = 1,738,240.29/1,501.81
  6. Step 6: Final answer
    x = 1,157.43

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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.