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Finding the Fourth Proportional to 7,709,998.40, 11,553,938.40 and 5,672,340.80

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Solution

The fourth proportional to 7,709,998.40, 11,553,938.40 and 5,672,340.80 is: 8,500,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709,998.40 : 11,553,938.40 = 5,672,340.80 : x
  2. Step 2: Convert to fraction form
    7,709,998.40/11,553,938.40 = 5,672,340.80/x
  3. Step 3: Cross multiply
    7,709,998.40x = 11,553,938.40 × 5,672,340.80
  4. Step 4: Simplify right side
    7,709,998.40x = 65,537,876,187,006.72
  5. Step 5: Solve for x
    x = 65,537,876,187,006.72/7,709,998.40
  6. Step 6: Final answer
    x = 8,500,374.81

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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.