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Finding the Fourth Proportional to 4,699.70, 7,050.70 and 1,412.79

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Solution

The fourth proportional to 4,699.70, 7,050.70 and 1,412.79 is: 2,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.70 : 7,050.70 = 1,412.79 : x
  2. Step 2: Convert to fraction form
    4,699.70/7,050.70 = 1,412.79/x
  3. Step 3: Cross multiply
    4,699.70x = 7,050.70 × 1,412.79
  4. Step 4: Simplify right side
    4,699.70x = 9,961,188.94
  5. Step 5: Solve for x
    x = 9,961,188.94/4,699.70
  6. Step 6: Final answer
    x = 2,119.54

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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.