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Finding the Fourth Proportional to 19,970.82, 27,570.78 and 12,015

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Solution

The fourth proportional to 19,970.82, 27,570.78 and 12,015 is: 16,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.82 : 27,570.78 = 12,015 : x
  2. Step 2: Convert to fraction form
    19,970.82/27,570.78 = 12,015/x
  3. Step 3: Cross multiply
    19,970.82x = 27,570.78 × 12,015
  4. Step 4: Simplify right side
    19,970.82x = 331,262,921.70
  5. Step 5: Solve for x
    x = 331,262,921.70/19,970.82
  6. Step 6: Final answer
    x = 16,587.35

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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.