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Finding the Fourth Proportional to 7,884,012.80, 11,803,900.80 and 7,662,828.80

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Solution

The fourth proportional to 7,884,012.80, 11,803,900.80 and 7,662,828.80 is: 11,472,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,012.80 : 11,803,900.80 = 7,662,828.80 : x
  2. Step 2: Convert to fraction form
    7,884,012.80/11,803,900.80 = 7,662,828.80/x
  3. Step 3: Cross multiply
    7,884,012.80x = 11,803,900.80 × 7,662,828.80
  4. Step 4: Simplify right side
    7,884,012.80x = 90,451,271,002,583.05
  5. Step 5: Solve for x
    x = 90,451,271,002,583.05/7,884,012.80
  6. Step 6: Final answer
    x = 11,472,745.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.