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Finding the Fourth Proportional to 2,651,896.62, 3,975,699.54 and 829,323.87

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Solution

The fourth proportional to 2,651,896.62, 3,975,699.54 and 829,323.87 is: 1,243,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,896.62 : 3,975,699.54 = 829,323.87 : x
  2. Step 2: Convert to fraction form
    2,651,896.62/3,975,699.54 = 829,323.87/x
  3. Step 3: Cross multiply
    2,651,896.62x = 3,975,699.54 × 829,323.87
  4. Step 4: Simplify right side
    2,651,896.62x = 3,297,142,528,470.02
  5. Step 5: Solve for x
    x = 3,297,142,528,470.02/2,651,896.62
  6. Step 6: Final answer
    x = 1,243,314.88

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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.