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Finding the Fourth Proportional to 21,308.64, 31,924.08 and 11,899.68

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Solution

The fourth proportional to 21,308.64, 31,924.08 and 11,899.68 is: 17,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.64 : 31,924.08 = 11,899.68 : x
  2. Step 2: Convert to fraction form
    21,308.64/31,924.08 = 11,899.68/x
  3. Step 3: Cross multiply
    21,308.64x = 31,924.08 × 11,899.68
  4. Step 4: Simplify right side
    21,308.64x = 379,886,336.29
  5. Step 5: Solve for x
    x = 379,886,336.29/21,308.64
  6. Step 6: Final answer
    x = 17,827.81

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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.