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Finding the Fourth Proportional to 7,171,137.48, 9,895,881.78 and 3,907,882.71

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Solution

The fourth proportional to 7,171,137.48, 9,895,881.78 and 3,907,882.71 is: 5,392,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171,137.48 : 9,895,881.78 = 3,907,882.71 : x
  2. Step 2: Convert to fraction form
    7,171,137.48/9,895,881.78 = 3,907,882.71/x
  3. Step 3: Cross multiply
    7,171,137.48x = 9,895,881.78 × 3,907,882.71
  4. Step 4: Simplify right side
    7,171,137.48x = 38,671,945,308,266.02
  5. Step 5: Solve for x
    x = 38,671,945,308,266.02/7,171,137.48
  6. Step 6: Final answer
    x = 5,392,721.23

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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.