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Finding the Fourth Proportional to 21,284.44, 29,373.44 and 11,853

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Solution

The fourth proportional to 21,284.44, 29,373.44 and 11,853 is: 16,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.44 : 29,373.44 = 11,853 : x
  2. Step 2: Convert to fraction form
    21,284.44/29,373.44 = 11,853/x
  3. Step 3: Cross multiply
    21,284.44x = 29,373.44 × 11,853
  4. Step 4: Simplify right side
    21,284.44x = 348,163,325.06
  5. Step 5: Solve for x
    x = 348,163,325.06/21,284.44
  6. Step 6: Final answer
    x = 16,357.65

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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.