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Finding the Fourth Proportional to 12,655.22, 17,464.38 and 6,990

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Solution

The fourth proportional to 12,655.22, 17,464.38 and 6,990 is: 9,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.22 : 17,464.38 = 6,990 : x
  2. Step 2: Convert to fraction form
    12,655.22/17,464.38 = 6,990/x
  3. Step 3: Cross multiply
    12,655.22x = 17,464.38 × 6,990
  4. Step 4: Simplify right side
    12,655.22x = 122,076,016.20
  5. Step 5: Solve for x
    x = 122,076,016.20/12,655.22
  6. Step 6: Final answer
    x = 9,646.30

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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.