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Finding the Fourth Proportional to 4,636.94, 6,400 and 3,203.32

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Solution

The fourth proportional to 4,636.94, 6,400 and 3,203.32 is: 4,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.94 : 6,400 = 3,203.32 : x
  2. Step 2: Convert to fraction form
    4,636.94/6,400 = 3,203.32/x
  3. Step 3: Cross multiply
    4,636.94x = 6,400 × 3,203.32
  4. Step 4: Simplify right side
    4,636.94x = 20,501,248
  5. Step 5: Solve for x
    x = 20,501,248/4,636.94
  6. Step 6: Final answer
    x = 4,421.29

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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.