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Finding the Fourth Proportional to 3,613.92, 5,420.40 and 1,017.06

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Solution

The fourth proportional to 3,613.92, 5,420.40 and 1,017.06 is: 1,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.92 : 5,420.40 = 1,017.06 : x
  2. Step 2: Convert to fraction form
    3,613.92/5,420.40 = 1,017.06/x
  3. Step 3: Cross multiply
    3,613.92x = 5,420.40 × 1,017.06
  4. Step 4: Simplify right side
    3,613.92x = 5,512,872.02
  5. Step 5: Solve for x
    x = 5,512,872.02/3,613.92
  6. Step 6: Final answer
    x = 1,525.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.