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Finding the Fourth Proportional to 19,996.56, 29,955.84 and 13,050

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Solution

The fourth proportional to 19,996.56, 29,955.84 and 13,050 is: 19,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996.56 : 29,955.84 = 13,050 : x
  2. Step 2: Convert to fraction form
    19,996.56/29,955.84 = 13,050/x
  3. Step 3: Cross multiply
    19,996.56x = 29,955.84 × 13,050
  4. Step 4: Simplify right side
    19,996.56x = 390,923,712
  5. Step 5: Solve for x
    x = 390,923,712/19,996.56
  6. Step 6: Final answer
    x = 19,549.55

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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.