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Finding the Fourth Proportional to 3,606.40, 5,409.20 and 1,009.60

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Solution

The fourth proportional to 3,606.40, 5,409.20 and 1,009.60 is: 1,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.40 : 5,409.20 = 1,009.60 : x
  2. Step 2: Convert to fraction form
    3,606.40/5,409.20 = 1,009.60/x
  3. Step 3: Cross multiply
    3,606.40x = 5,409.20 × 1,009.60
  4. Step 4: Simplify right side
    3,606.40x = 5,461,128.32
  5. Step 5: Solve for x
    x = 5,461,128.32/3,606.40
  6. Step 6: Final answer
    x = 1,514.29

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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.