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Finding the Fourth Proportional to 6,978,005.76, 9,628,236.28 and 4,076,836.32

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Solution

The fourth proportional to 6,978,005.76, 9,628,236.28 and 4,076,836.32 is: 5,625,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,005.76 : 9,628,236.28 = 4,076,836.32 : x
  2. Step 2: Convert to fraction form
    6,978,005.76/9,628,236.28 = 4,076,836.32/x
  3. Step 3: Cross multiply
    6,978,005.76x = 9,628,236.28 × 4,076,836.32
  4. Step 4: Simplify right side
    6,978,005.76x = 39,252,743,363,845.69
  5. Step 5: Solve for x
    x = 39,252,743,363,845.69/6,978,005.76
  6. Step 6: Final answer
    x = 5,625,209.37

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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.