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Finding the Fourth Proportional to 1,571,800, 2,169,084 and 856,408

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Solution

The fourth proportional to 1,571,800, 2,169,084 and 856,408 is: 1,181,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,800 : 2,169,084 = 856,408 : x
  2. Step 2: Convert to fraction form
    1,571,800/2,169,084 = 856,408/x
  3. Step 3: Cross multiply
    1,571,800x = 2,169,084 × 856,408
  4. Step 4: Simplify right side
    1,571,800x = 1,857,620,890,272
  5. Step 5: Solve for x
    x = 1,857,620,890,272/1,571,800
  6. Step 6: Final answer
    x = 1,181,843.04

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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.