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Finding the Fourth Proportional to 1,602.15, 2,401.35 and 1,419.90

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Solution

The fourth proportional to 1,602.15, 2,401.35 and 1,419.90 is: 2,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.15 : 2,401.35 = 1,419.90 : x
  2. Step 2: Convert to fraction form
    1,602.15/2,401.35 = 1,419.90/x
  3. Step 3: Cross multiply
    1,602.15x = 2,401.35 × 1,419.90
  4. Step 4: Simplify right side
    1,602.15x = 3,409,662.54
  5. Step 5: Solve for x
    x = 3,409,662.54/1,602.15
  6. Step 6: Final answer
    x = 2,128.18

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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.