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Finding the Fourth Proportional to 5,187,978.47, 7,776,759.68 and 1,773,930.21

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Solution

The fourth proportional to 5,187,978.47, 7,776,759.68 and 1,773,930.21 is: 2,659,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187,978.47 : 7,776,759.68 = 1,773,930.21 : x
  2. Step 2: Convert to fraction form
    5,187,978.47/7,776,759.68 = 1,773,930.21/x
  3. Step 3: Cross multiply
    5,187,978.47x = 7,776,759.68 × 1,773,930.21
  4. Step 4: Simplify right side
    5,187,978.47x = 13,795,428,923,392.28
  5. Step 5: Solve for x
    x = 13,795,428,923,392.28/5,187,978.47
  6. Step 6: Final answer
    x = 2,659,114.53

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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.