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Finding the Fourth Proportional to 3,643.42, 5,460.99 and 3,203.82

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Solution

The fourth proportional to 3,643.42, 5,460.99 and 3,203.82 is: 4,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.42 : 5,460.99 = 3,203.82 : x
  2. Step 2: Convert to fraction form
    3,643.42/5,460.99 = 3,203.82/x
  3. Step 3: Cross multiply
    3,643.42x = 5,460.99 × 3,203.82
  4. Step 4: Simplify right side
    3,643.42x = 17,495,985.66
  5. Step 5: Solve for x
    x = 17,495,985.66/3,643.42
  6. Step 6: Final answer
    x = 4,802.08

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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.