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Finding the Fourth Proportional to 1,406.20, 2,106.98 and 856.73

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Solution

The fourth proportional to 1,406.20, 2,106.98 and 856.73 is: 1,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.20 : 2,106.98 = 856.73 : x
  2. Step 2: Convert to fraction form
    1,406.20/2,106.98 = 856.73/x
  3. Step 3: Cross multiply
    1,406.20x = 2,106.98 × 856.73
  4. Step 4: Simplify right side
    1,406.20x = 1,805,112.98
  5. Step 5: Solve for x
    x = 1,805,112.98/1,406.20
  6. Step 6: Final answer
    x = 1,283.68

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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.