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Finding the Fourth Proportional to 6,450.63, 8,902 and 3,656.13

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Solution

The fourth proportional to 6,450.63, 8,902 and 3,656.13 is: 5,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.63 : 8,902 = 3,656.13 : x
  2. Step 2: Convert to fraction form
    6,450.63/8,902 = 3,656.13/x
  3. Step 3: Cross multiply
    6,450.63x = 8,902 × 3,656.13
  4. Step 4: Simplify right side
    6,450.63x = 32,546,824.75
  5. Step 5: Solve for x
    x = 32,546,824.75/6,450.63
  6. Step 6: Final answer
    x = 5,045.53

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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.