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Finding the Fourth Proportional to 19,824, 29,740.32 and 7,512

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Solution

The fourth proportional to 19,824, 29,740.32 and 7,512 is: 11,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 29,740.32 = 7,512 : x
  2. Step 2: Convert to fraction form
    19,824/29,740.32 = 7,512/x
  3. Step 3: Cross multiply
    19,824x = 29,740.32 × 7,512
  4. Step 4: Simplify right side
    19,824x = 223,409,283.84
  5. Step 5: Solve for x
    x = 223,409,283.84/19,824
  6. Step 6: Final answer
    x = 11,269.64

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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.