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Finding the Fourth Proportional to 2,357.82, 3,536.73 and 626.45

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Solution

The fourth proportional to 2,357.82, 3,536.73 and 626.45 is: 939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.82 : 3,536.73 = 626.45 : x
  2. Step 2: Convert to fraction form
    2,357.82/3,536.73 = 626.45/x
  3. Step 3: Cross multiply
    2,357.82x = 3,536.73 × 626.45
  4. Step 4: Simplify right side
    2,357.82x = 2,215,566.82
  5. Step 5: Solve for x
    x = 2,215,566.82/2,357.82
  6. Step 6: Final answer
    x = 939.67

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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.