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Finding the Fourth Proportional to 1,825.65, 2,739.94 and 948.41

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Solution

The fourth proportional to 1,825.65, 2,739.94 and 948.41 is: 1,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.65 : 2,739.94 = 948.41 : x
  2. Step 2: Convert to fraction form
    1,825.65/2,739.94 = 948.41/x
  3. Step 3: Cross multiply
    1,825.65x = 2,739.94 × 948.41
  4. Step 4: Simplify right side
    1,825.65x = 2,598,586.50
  5. Step 5: Solve for x
    x = 2,598,586.50/1,825.65
  6. Step 6: Final answer
    x = 1,423.38

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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.