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Finding the Fourth Proportional to 17,990, 24,829.44 and 10,538

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Solution

The fourth proportional to 17,990, 24,829.44 and 10,538 is: 14,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,990 : 24,829.44 = 10,538 : x
  2. Step 2: Convert to fraction form
    17,990/24,829.44 = 10,538/x
  3. Step 3: Cross multiply
    17,990x = 24,829.44 × 10,538
  4. Step 4: Simplify right side
    17,990x = 261,652,638.72
  5. Step 5: Solve for x
    x = 261,652,638.72/17,990
  6. Step 6: Final answer
    x = 14,544.34

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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.