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Finding the Fourth Proportional to 1,728,982.10, 2,588,807.55 and 1,728,982.10

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Solution

The fourth proportional to 1,728,982.10, 2,588,807.55 and 1,728,982.10 is: 2,588,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,982.10 : 2,588,807.55 = 1,728,982.10 : x
  2. Step 2: Convert to fraction form
    1,728,982.10/2,588,807.55 = 1,728,982.10/x
  3. Step 3: Cross multiply
    1,728,982.10x = 2,588,807.55 × 1,728,982.10
  4. Step 4: Simplify right side
    1,728,982.10x = 4,476,001,914,294.85
  5. Step 5: Solve for x
    x = 4,476,001,914,294.85/1,728,982.10
  6. Step 6: Final answer
    x = 2,588,807.55

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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.