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Finding the Fourth Proportional to 2,475.50, 3,713.80 and 936.50

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Solution

The fourth proportional to 2,475.50, 3,713.80 and 936.50 is: 1,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.50 : 3,713.80 = 936.50 : x
  2. Step 2: Convert to fraction form
    2,475.50/3,713.80 = 936.50/x
  3. Step 3: Cross multiply
    2,475.50x = 3,713.80 × 936.50
  4. Step 4: Simplify right side
    2,475.50x = 3,477,973.70
  5. Step 5: Solve for x
    x = 3,477,973.70/2,475.50
  6. Step 6: Final answer
    x = 1,404.96

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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.