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Finding the Fourth Proportional to 3,507.48, 5,261.34 and 910.43

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Solution

The fourth proportional to 3,507.48, 5,261.34 and 910.43 is: 1,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.48 : 5,261.34 = 910.43 : x
  2. Step 2: Convert to fraction form
    3,507.48/5,261.34 = 910.43/x
  3. Step 3: Cross multiply
    3,507.48x = 5,261.34 × 910.43
  4. Step 4: Simplify right side
    3,507.48x = 4,790,055.47
  5. Step 5: Solve for x
    x = 4,790,055.47/3,507.48
  6. Step 6: Final answer
    x = 1,365.67

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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.