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Finding the Fourth Proportional to 12,804, 17,670.60 and 7,216.08

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Solution

The fourth proportional to 12,804, 17,670.60 and 7,216.08 is: 9,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804 : 17,670.60 = 7,216.08 : x
  2. Step 2: Convert to fraction form
    12,804/17,670.60 = 7,216.08/x
  3. Step 3: Cross multiply
    12,804x = 17,670.60 × 7,216.08
  4. Step 4: Simplify right side
    12,804x = 127,512,463.25
  5. Step 5: Solve for x
    x = 127,512,463.25/12,804
  6. Step 6: Final answer
    x = 9,958.80

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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.