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Finding the Fourth Proportional to 20,342.82, 28,071.54 and 12,384

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Solution

The fourth proportional to 20,342.82, 28,071.54 and 12,384 is: 17,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.82 : 28,071.54 = 12,384 : x
  2. Step 2: Convert to fraction form
    20,342.82/28,071.54 = 12,384/x
  3. Step 3: Cross multiply
    20,342.82x = 28,071.54 × 12,384
  4. Step 4: Simplify right side
    20,342.82x = 347,637,951.36
  5. Step 5: Solve for x
    x = 347,637,951.36/20,342.82
  6. Step 6: Final answer
    x = 17,088.98

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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.