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Finding the Fourth Proportional to 1,602.27, 2,211.21 and 903.63

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Solution

The fourth proportional to 1,602.27, 2,211.21 and 903.63 is: 1,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.27 : 2,211.21 = 903.63 : x
  2. Step 2: Convert to fraction form
    1,602.27/2,211.21 = 903.63/x
  3. Step 3: Cross multiply
    1,602.27x = 2,211.21 × 903.63
  4. Step 4: Simplify right side
    1,602.27x = 1,998,100.12
  5. Step 5: Solve for x
    x = 1,998,100.12/1,602.27
  6. Step 6: Final answer
    x = 1,247.05

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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.