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Finding the Fourth Proportional to 12,741, 17,582.64 and 7,152

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Solution

The fourth proportional to 12,741, 17,582.64 and 7,152 is: 9,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 17,582.64 = 7,152 : x
  2. Step 2: Convert to fraction form
    12,741/17,582.64 = 7,152/x
  3. Step 3: Cross multiply
    12,741x = 17,582.64 × 7,152
  4. Step 4: Simplify right side
    12,741x = 125,751,041.28
  5. Step 5: Solve for x
    x = 125,751,041.28/12,741
  6. Step 6: Final answer
    x = 9,869.79

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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.