Home / 1,748.08-2,622.42-823.60

Finding the Fourth Proportional to 1,748.08, 2,622.42 and 823.60

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Solution

The fourth proportional to 1,748.08, 2,622.42 and 823.60 is: 1,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.08 : 2,622.42 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,748.08/2,622.42 = 823.60/x
  3. Step 3: Cross multiply
    1,748.08x = 2,622.42 × 823.60
  4. Step 4: Simplify right side
    1,748.08x = 2,159,825.11
  5. Step 5: Solve for x
    x = 2,159,825.11/1,748.08
  6. Step 6: Final answer
    x = 1,235.54

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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.