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Finding the Fourth Proportional to 6,978,877.66, 9,629,427.54 and 4,077,707.41

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Solution

The fourth proportional to 6,978,877.66, 9,629,427.54 and 4,077,707.41 is: 5,626,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,877.66 : 9,629,427.54 = 4,077,707.41 : x
  2. Step 2: Convert to fraction form
    6,978,877.66/9,629,427.54 = 4,077,707.41/x
  3. Step 3: Cross multiply
    6,978,877.66x = 9,629,427.54 × 4,077,707.41
  4. Step 4: Simplify right side
    6,978,877.66x = 39,265,988,033,916.07
  5. Step 5: Solve for x
    x = 39,265,988,033,916.07/6,978,877.66
  6. Step 6: Final answer
    x = 5,626,404.41

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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.