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Finding the Fourth Proportional to 11,578,978.53, 15,978,999.20 and 6,422,377.05

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Solution

The fourth proportional to 11,578,978.53, 15,978,999.20 and 6,422,377.05 is: 8,862,885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578,978.53 : 15,978,999.20 = 6,422,377.05 : x
  2. Step 2: Convert to fraction form
    11,578,978.53/15,978,999.20 = 6,422,377.05/x
  3. Step 3: Cross multiply
    11,578,978.53x = 15,978,999.20 × 6,422,377.05
  4. Step 4: Simplify right side
    11,578,978.53x = 102,623,157,711,936.47
  5. Step 5: Solve for x
    x = 102,623,157,711,936.47/11,578,978.53
  6. Step 6: Final answer
    x = 8,862,885.22

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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.