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Finding the Fourth Proportional to 2,914.51, 4,372.86 and 1,745.34

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Solution

The fourth proportional to 2,914.51, 4,372.86 and 1,745.34 is: 2,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.51 : 4,372.86 = 1,745.34 : x
  2. Step 2: Convert to fraction form
    2,914.51/4,372.86 = 1,745.34/x
  3. Step 3: Cross multiply
    2,914.51x = 4,372.86 × 1,745.34
  4. Step 4: Simplify right side
    2,914.51x = 7,632,127.47
  5. Step 5: Solve for x
    x = 7,632,127.47/2,914.51
  6. Step 6: Final answer
    x = 2,618.67

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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.