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Finding the Fourth Proportional to 12,646.33, 18,988.63 and 7,736.51

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Solution

The fourth proportional to 12,646.33, 18,988.63 and 7,736.51 is: 11,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.33 : 18,988.63 = 7,736.51 : x
  2. Step 2: Convert to fraction form
    12,646.33/18,988.63 = 7,736.51/x
  3. Step 3: Cross multiply
    12,646.33x = 18,988.63 × 7,736.51
  4. Step 4: Simplify right side
    12,646.33x = 146,905,754.01
  5. Step 5: Solve for x
    x = 146,905,754.01/12,646.33
  6. Step 6: Final answer
    x = 11,616.48

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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.