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Finding the Fourth Proportional to 19,980.36, 29,969.82 and 6,129

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Solution

The fourth proportional to 19,980.36, 29,969.82 and 6,129 is: 9,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.36 : 29,969.82 = 6,129 : x
  2. Step 2: Convert to fraction form
    19,980.36/29,969.82 = 6,129/x
  3. Step 3: Cross multiply
    19,980.36x = 29,969.82 × 6,129
  4. Step 4: Simplify right side
    19,980.36x = 183,685,026.78
  5. Step 5: Solve for x
    x = 183,685,026.78/19,980.36
  6. Step 6: Final answer
    x = 9,193.28

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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.