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Finding the Fourth Proportional to 12,656.11, 17,465.56 and 6,991

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Solution

The fourth proportional to 12,656.11, 17,465.56 and 6,991 is: 9,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.11 : 17,465.56 = 6,991 : x
  2. Step 2: Convert to fraction form
    12,656.11/17,465.56 = 6,991/x
  3. Step 3: Cross multiply
    12,656.11x = 17,465.56 × 6,991
  4. Step 4: Simplify right side
    12,656.11x = 122,101,729.96
  5. Step 5: Solve for x
    x = 122,101,729.96/12,656.11
  6. Step 6: Final answer
    x = 9,647.65

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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.