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Finding the Fourth Proportional to 1,406.34, 2,109.60 and 828

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Solution

The fourth proportional to 1,406.34, 2,109.60 and 828 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.34 : 2,109.60 = 828 : x
  2. Step 2: Convert to fraction form
    1,406.34/2,109.60 = 828/x
  3. Step 3: Cross multiply
    1,406.34x = 2,109.60 × 828
  4. Step 4: Simplify right side
    1,406.34x = 1,746,748.80
  5. Step 5: Solve for x
    x = 1,746,748.80/1,406.34
  6. Step 6: Final answer
    x = 1,242.05

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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.