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Finding the Fourth Proportional to 12,580.36, 17,360.22 and 6,991

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Solution

The fourth proportional to 12,580.36, 17,360.22 and 6,991 is: 9,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.36 : 17,360.22 = 6,991 : x
  2. Step 2: Convert to fraction form
    12,580.36/17,360.22 = 6,991/x
  3. Step 3: Cross multiply
    12,580.36x = 17,360.22 × 6,991
  4. Step 4: Simplify right side
    12,580.36x = 121,365,298.02
  5. Step 5: Solve for x
    x = 121,365,298.02/12,580.36
  6. Step 6: Final answer
    x = 9,647.20

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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.