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Finding the Fourth Proportional to 21,913, 30,240.42 and 11,977

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Solution

The fourth proportional to 21,913, 30,240.42 and 11,977 is: 16,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913 : 30,240.42 = 11,977 : x
  2. Step 2: Convert to fraction form
    21,913/30,240.42 = 11,977/x
  3. Step 3: Cross multiply
    21,913x = 30,240.42 × 11,977
  4. Step 4: Simplify right side
    21,913x = 362,189,510.34
  5. Step 5: Solve for x
    x = 362,189,510.34/21,913
  6. Step 6: Final answer
    x = 16,528.52

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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.