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Finding the Fourth Proportional to 3,598.64, 5,397.48 and 1,405.84

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Solution

The fourth proportional to 3,598.64, 5,397.48 and 1,405.84 is: 2,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.64 : 5,397.48 = 1,405.84 : x
  2. Step 2: Convert to fraction form
    3,598.64/5,397.48 = 1,405.84/x
  3. Step 3: Cross multiply
    3,598.64x = 5,397.48 × 1,405.84
  4. Step 4: Simplify right side
    3,598.64x = 7,587,993.28
  5. Step 5: Solve for x
    x = 7,587,993.28/3,598.64
  6. Step 6: Final answer
    x = 2,108.57

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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.