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Finding the Fourth Proportional to 1,773.55, 2,448.05 and 1,213.81

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Solution

The fourth proportional to 1,773.55, 2,448.05 and 1,213.81 is: 1,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.55 : 2,448.05 = 1,213.81 : x
  2. Step 2: Convert to fraction form
    1,773.55/2,448.05 = 1,213.81/x
  3. Step 3: Cross multiply
    1,773.55x = 2,448.05 × 1,213.81
  4. Step 4: Simplify right side
    1,773.55x = 2,971,467.57
  5. Step 5: Solve for x
    x = 2,971,467.57/1,773.55
  6. Step 6: Final answer
    x = 1,675.43

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1.5x scale

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.