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Finding the Fourth Proportional to 6,378,898.48, 8,795,728.92 and 5,213,729.68

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Solution

The fourth proportional to 6,378,898.48, 8,795,728.92 and 5,213,729.68 is: 7,189,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,898.48 : 8,795,728.92 = 5,213,729.68 : x
  2. Step 2: Convert to fraction form
    6,378,898.48/8,795,728.92 = 5,213,729.68/x
  3. Step 3: Cross multiply
    6,378,898.48x = 8,795,728.92 × 5,213,729.68
  4. Step 4: Simplify right side
    6,378,898.48x = 45,858,552,927,438.34
  5. Step 5: Solve for x
    x = 45,858,552,927,438.34/6,378,898.48
  6. Step 6: Final answer
    x = 7,189,102.17

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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.