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Finding the Fourth Proportional to 20,970.96, 28,937.52 and 12,016

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Solution

The fourth proportional to 20,970.96, 28,937.52 and 12,016 is: 16,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.96 : 28,937.52 = 12,016 : x
  2. Step 2: Convert to fraction form
    20,970.96/28,937.52 = 12,016/x
  3. Step 3: Cross multiply
    20,970.96x = 28,937.52 × 12,016
  4. Step 4: Simplify right side
    20,970.96x = 347,713,240.32
  5. Step 5: Solve for x
    x = 347,713,240.32/20,970.96
  6. Step 6: Final answer
    x = 16,580.70

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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.