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Finding the Fourth Proportional to 6,405.04, 9,605.04 and 1,961.32

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Solution

The fourth proportional to 6,405.04, 9,605.04 and 1,961.32 is: 2,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.04 : 9,605.04 = 1,961.32 : x
  2. Step 2: Convert to fraction form
    6,405.04/9,605.04 = 1,961.32/x
  3. Step 3: Cross multiply
    6,405.04x = 9,605.04 × 1,961.32
  4. Step 4: Simplify right side
    6,405.04x = 18,838,557.05
  5. Step 5: Solve for x
    x = 18,838,557.05/6,405.04
  6. Step 6: Final answer
    x = 2,941.21

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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.