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Finding the Fourth Proportional to 6,173.55, 8,520 and 3,521.16

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Solution

The fourth proportional to 6,173.55, 8,520 and 3,521.16 is: 4,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.55 : 8,520 = 3,521.16 : x
  2. Step 2: Convert to fraction form
    6,173.55/8,520 = 3,521.16/x
  3. Step 3: Cross multiply
    6,173.55x = 8,520 × 3,521.16
  4. Step 4: Simplify right side
    6,173.55x = 30,000,283.20
  5. Step 5: Solve for x
    x = 30,000,283.20/6,173.55
  6. Step 6: Final answer
    x = 4,859.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.