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Finding the Fourth Proportional to 4,674.50, 7,011.93 and 1,596.50

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Solution

The fourth proportional to 4,674.50, 7,011.93 and 1,596.50 is: 2,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.50 : 7,011.93 = 1,596.50 : x
  2. Step 2: Convert to fraction form
    4,674.50/7,011.93 = 1,596.50/x
  3. Step 3: Cross multiply
    4,674.50x = 7,011.93 × 1,596.50
  4. Step 4: Simplify right side
    4,674.50x = 11,194,546.25
  5. Step 5: Solve for x
    x = 11,194,546.25/4,674.50
  6. Step 6: Final answer
    x = 2,394.81

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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.