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Finding the Fourth Proportional to 4,687.74, 7,029.93 and 1,400.22

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Solution

The fourth proportional to 4,687.74, 7,029.93 and 1,400.22 is: 2,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.74 : 7,029.93 = 1,400.22 : x
  2. Step 2: Convert to fraction form
    4,687.74/7,029.93 = 1,400.22/x
  3. Step 3: Cross multiply
    4,687.74x = 7,029.93 × 1,400.22
  4. Step 4: Simplify right side
    4,687.74x = 9,843,448.58
  5. Step 5: Solve for x
    x = 9,843,448.58/4,687.74
  6. Step 6: Final answer
    x = 2,099.83

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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.