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Finding the Fourth Proportional to 4,685, 6,465.36 and 2,589.32

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Solution

The fourth proportional to 4,685, 6,465.36 and 2,589.32 is: 3,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685 : 6,465.36 = 2,589.32 : x
  2. Step 2: Convert to fraction form
    4,685/6,465.36 = 2,589.32/x
  3. Step 3: Cross multiply
    4,685x = 6,465.36 × 2,589.32
  4. Step 4: Simplify right side
    4,685x = 16,740,885.96
  5. Step 5: Solve for x
    x = 16,740,885.96/4,685
  6. Step 6: Final answer
    x = 3,573.29

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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.