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Finding the Fourth Proportional to 5,290,762.25, 7,936,553.55 and 1,647,034.40

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Solution

The fourth proportional to 5,290,762.25, 7,936,553.55 and 1,647,034.40 is: 2,470,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290,762.25 : 7,936,553.55 = 1,647,034.40 : x
  2. Step 2: Convert to fraction form
    5,290,762.25/7,936,553.55 = 1,647,034.40/x
  3. Step 3: Cross multiply
    5,290,762.25x = 7,936,553.55 × 1,647,034.40
  4. Step 4: Simplify right side
    5,290,762.25x = 13,071,776,714,292.12
  5. Step 5: Solve for x
    x = 13,071,776,714,292.12/5,290,762.25
  6. Step 6: Final answer
    x = 2,470,679.29

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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.