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Finding the Fourth Proportional to 29,682, 40,949.80 and 19,615.28

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Solution

The fourth proportional to 29,682, 40,949.80 and 19,615.28 is: 27,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 40,949.80 = 19,615.28 : x
  2. Step 2: Convert to fraction form
    29,682/40,949.80 = 19,615.28/x
  3. Step 3: Cross multiply
    29,682x = 40,949.80 × 19,615.28
  4. Step 4: Simplify right side
    29,682x = 803,241,792.94
  5. Step 5: Solve for x
    x = 803,241,792.94/29,682
  6. Step 6: Final answer
    x = 27,061.58

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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.