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Finding the Fourth Proportional to 1,409.70, 2,114.73 and 836.22

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Solution

The fourth proportional to 1,409.70, 2,114.73 and 836.22 is: 1,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 2,114.73 = 836.22 : x
  2. Step 2: Convert to fraction form
    1,409.70/2,114.73 = 836.22/x
  3. Step 3: Cross multiply
    1,409.70x = 2,114.73 × 836.22
  4. Step 4: Simplify right side
    1,409.70x = 1,768,379.52
  5. Step 5: Solve for x
    x = 1,768,379.52/1,409.70
  6. Step 6: Final answer
    x = 1,254.44

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1.5x scale

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.