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Finding the Fourth Proportional to 7,241,595.76, 9,993,578.24 and 3,978,621.84

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Solution

The fourth proportional to 7,241,595.76, 9,993,578.24 and 3,978,621.84 is: 5,490,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241,595.76 : 9,993,578.24 = 3,978,621.84 : x
  2. Step 2: Convert to fraction form
    7,241,595.76/9,993,578.24 = 3,978,621.84/x
  3. Step 3: Cross multiply
    7,241,595.76x = 9,993,578.24 × 3,978,621.84
  4. Step 4: Simplify right side
    7,241,595.76x = 39,760,668,645,412.76
  5. Step 5: Solve for x
    x = 39,760,668,645,412.76/7,241,595.76
  6. Step 6: Final answer
    x = 5,490,594.89

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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.