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Finding the Fourth Proportional to 1,948.42, 2,920.07 and 793.54

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Solution

The fourth proportional to 1,948.42, 2,920.07 and 793.54 is: 1,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.42 : 2,920.07 = 793.54 : x
  2. Step 2: Convert to fraction form
    1,948.42/2,920.07 = 793.54/x
  3. Step 3: Cross multiply
    1,948.42x = 2,920.07 × 793.54
  4. Step 4: Simplify right side
    1,948.42x = 2,317,192.35
  5. Step 5: Solve for x
    x = 2,317,192.35/1,948.42
  6. Step 6: Final answer
    x = 1,189.27

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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.