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Finding the Fourth Proportional to 5,810.64, 8,720.28 and 3,218.64

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Solution

The fourth proportional to 5,810.64, 8,720.28 and 3,218.64 is: 4,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.64 : 8,720.28 = 3,218.64 : x
  2. Step 2: Convert to fraction form
    5,810.64/8,720.28 = 3,218.64/x
  3. Step 3: Cross multiply
    5,810.64x = 8,720.28 × 3,218.64
  4. Step 4: Simplify right side
    5,810.64x = 28,067,442.02
  5. Step 5: Solve for x
    x = 28,067,442.02/5,810.64
  6. Step 6: Final answer
    x = 4,830.35

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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.