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Finding the Fourth Proportional to 4,646, 6,404.64 and 2,967.20

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Solution

The fourth proportional to 4,646, 6,404.64 and 2,967.20 is: 4,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646 : 6,404.64 = 2,967.20 : x
  2. Step 2: Convert to fraction form
    4,646/6,404.64 = 2,967.20/x
  3. Step 3: Cross multiply
    4,646x = 6,404.64 × 2,967.20
  4. Step 4: Simplify right side
    4,646x = 19,003,847.81
  5. Step 5: Solve for x
    x = 19,003,847.81/4,646
  6. Step 6: Final answer
    x = 4,090.37

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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.