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Finding the Fourth Proportional to 19,629, 29,436.30 and 6,477.48

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Solution

The fourth proportional to 19,629, 29,436.30 and 6,477.48 is: 9,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629 : 29,436.30 = 6,477.48 : x
  2. Step 2: Convert to fraction form
    19,629/29,436.30 = 6,477.48/x
  3. Step 3: Cross multiply
    19,629x = 29,436.30 × 6,477.48
  4. Step 4: Simplify right side
    19,629x = 190,673,044.52
  5. Step 5: Solve for x
    x = 190,673,044.52/19,629
  6. Step 6: Final answer
    x = 9,713.84

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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.