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Finding the Fourth Proportional to 21,953, 30,295.14 and 12,017

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Solution

The fourth proportional to 21,953, 30,295.14 and 12,017 is: 16,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953 : 30,295.14 = 12,017 : x
  2. Step 2: Convert to fraction form
    21,953/30,295.14 = 12,017/x
  3. Step 3: Cross multiply
    21,953x = 30,295.14 × 12,017
  4. Step 4: Simplify right side
    21,953x = 364,056,697.38
  5. Step 5: Solve for x
    x = 364,056,697.38/21,953
  6. Step 6: Final answer
    x = 16,583.46

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1.5x scale

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.