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Finding the Fourth Proportional to 12,802.86, 17,664.48 and 7,699.86

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Solution

The fourth proportional to 12,802.86, 17,664.48 and 7,699.86 is: 10,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.86 : 17,664.48 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    12,802.86/17,664.48 = 7,699.86/x
  3. Step 3: Cross multiply
    12,802.86x = 17,664.48 × 7,699.86
  4. Step 4: Simplify right side
    12,802.86x = 136,014,022.97
  5. Step 5: Solve for x
    x = 136,014,022.97/12,802.86
  6. Step 6: Final answer
    x = 10,623.72

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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.