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Finding the Fourth Proportional to 12,886, 17,782.68 and 6,998

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Solution

The fourth proportional to 12,886, 17,782.68 and 6,998 is: 9,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886 : 17,782.68 = 6,998 : x
  2. Step 2: Convert to fraction form
    12,886/17,782.68 = 6,998/x
  3. Step 3: Cross multiply
    12,886x = 17,782.68 × 6,998
  4. Step 4: Simplify right side
    12,886x = 124,443,194.64
  5. Step 5: Solve for x
    x = 124,443,194.64/12,886
  6. Step 6: Final answer
    x = 9,657.24

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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.