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Finding the Fourth Proportional to 12,612.51, 18,894.11 and 7,669.89

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Solution

The fourth proportional to 12,612.51, 18,894.11 and 7,669.89 is: 11,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.51 : 18,894.11 = 7,669.89 : x
  2. Step 2: Convert to fraction form
    12,612.51/18,894.11 = 7,669.89/x
  3. Step 3: Cross multiply
    12,612.51x = 18,894.11 × 7,669.89
  4. Step 4: Simplify right side
    12,612.51x = 144,915,707.00
  5. Step 5: Solve for x
    x = 144,915,707.00/12,612.51
  6. Step 6: Final answer
    x = 11,489.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.