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Finding the Fourth Proportional to 1,972,890.83, 2,957,559.09 and 709,829.75

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Solution

The fourth proportional to 1,972,890.83, 2,957,559.09 and 709,829.75 is: 1,064,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,890.83 : 2,957,559.09 = 709,829.75 : x
  2. Step 2: Convert to fraction form
    1,972,890.83/2,957,559.09 = 709,829.75/x
  3. Step 3: Cross multiply
    1,972,890.83x = 2,957,559.09 × 709,829.75
  4. Step 4: Simplify right side
    1,972,890.83x = 2,099,363,429,464.93
  5. Step 5: Solve for x
    x = 2,099,363,429,464.93/1,972,890.83
  6. Step 6: Final answer
    x = 1,064,105.22

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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.