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Finding the Fourth Proportional to 3,165, 4,368.92 and 2,172.64

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Solution

The fourth proportional to 3,165, 4,368.92 and 2,172.64 is: 2,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165 : 4,368.92 = 2,172.64 : x
  2. Step 2: Convert to fraction form
    3,165/4,368.92 = 2,172.64/x
  3. Step 3: Cross multiply
    3,165x = 4,368.92 × 2,172.64
  4. Step 4: Simplify right side
    3,165x = 9,492,090.35
  5. Step 5: Solve for x
    x = 9,492,090.35/3,165
  6. Step 6: Final answer
    x = 2,999.08

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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.