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Finding the Fourth Proportional to 6,978,879.66, 9,629,430.30 and 4,077,709.42

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Solution

The fourth proportional to 6,978,879.66, 9,629,430.30 and 4,077,709.42 is: 5,626,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,879.66 : 9,629,430.30 = 4,077,709.42 : x
  2. Step 2: Convert to fraction form
    6,978,879.66/9,629,430.30 = 4,077,709.42/x
  3. Step 3: Cross multiply
    6,978,879.66x = 9,629,430.30 × 4,077,709.42
  4. Step 4: Simplify right side
    6,978,879.66x = 39,266,018,643,543.43
  5. Step 5: Solve for x
    x = 39,266,018,643,543.43/6,978,879.66
  6. Step 6: Final answer
    x = 5,626,407.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.