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Finding the Fourth Proportional to 7,243,513.22, 9,986,059.91 and 5,778,394.50

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Solution

The fourth proportional to 7,243,513.22, 9,986,059.91 and 5,778,394.50 is: 7,966,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,513.22 : 9,986,059.91 = 5,778,394.50 : x
  2. Step 2: Convert to fraction form
    7,243,513.22/9,986,059.91 = 5,778,394.50/x
  3. Step 3: Cross multiply
    7,243,513.22x = 9,986,059.91 × 5,778,394.50
  4. Step 4: Simplify right side
    7,243,513.22x = 57,703,393,631,722.52
  5. Step 5: Solve for x
    x = 57,703,393,631,722.52/7,243,513.22
  6. Step 6: Final answer
    x = 7,966,216.38

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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.