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Finding the Fourth Proportional to 2,782.58, 4,178.02 and 1,749.12

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Solution

The fourth proportional to 2,782.58, 4,178.02 and 1,749.12 is: 2,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.58 : 4,178.02 = 1,749.12 : x
  2. Step 2: Convert to fraction form
    2,782.58/4,178.02 = 1,749.12/x
  3. Step 3: Cross multiply
    2,782.58x = 4,178.02 × 1,749.12
  4. Step 4: Simplify right side
    2,782.58x = 7,307,858.34
  5. Step 5: Solve for x
    x = 7,307,858.34/2,782.58
  6. Step 6: Final answer
    x = 2,626.29

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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.