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Finding the Fourth Proportional to 24,390, 33,659.64 and 13,779.36

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Solution

The fourth proportional to 24,390, 33,659.64 and 13,779.36 is: 19,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390 : 33,659.64 = 13,779.36 : x
  2. Step 2: Convert to fraction form
    24,390/33,659.64 = 13,779.36/x
  3. Step 3: Cross multiply
    24,390x = 33,659.64 × 13,779.36
  4. Step 4: Simplify right side
    24,390x = 463,808,297.03
  5. Step 5: Solve for x
    x = 463,808,297.03/24,390
  6. Step 6: Final answer
    x = 19,016.33

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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.