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Finding the Fourth Proportional to 10,647,796.40, 15,971,694.60 and 3,075,009.20

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Solution

The fourth proportional to 10,647,796.40, 15,971,694.60 and 3,075,009.20 is: 4,612,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647,796.40 : 15,971,694.60 = 3,075,009.20 : x
  2. Step 2: Convert to fraction form
    10,647,796.40/15,971,694.60 = 3,075,009.20/x
  3. Step 3: Cross multiply
    10,647,796.40x = 15,971,694.60 × 3,075,009.20
  4. Step 4: Simplify right side
    10,647,796.40x = 49,113,107,834,590.32
  5. Step 5: Solve for x
    x = 49,113,107,834,590.32/10,647,796.40
  6. Step 6: Final answer
    x = 4,612,513.80

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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.