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Finding the Fourth Proportional to 3,604.75, 5,407.71 and 1,412.29

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Solution

The fourth proportional to 3,604.75, 5,407.71 and 1,412.29 is: 2,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.75 : 5,407.71 = 1,412.29 : x
  2. Step 2: Convert to fraction form
    3,604.75/5,407.71 = 1,412.29/x
  3. Step 3: Cross multiply
    3,604.75x = 5,407.71 × 1,412.29
  4. Step 4: Simplify right side
    3,604.75x = 7,637,254.76
  5. Step 5: Solve for x
    x = 7,637,254.76/3,604.75
  6. Step 6: Final answer
    x = 2,118.66

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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.