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Finding the Fourth Proportional to 21,723, 29,977.74 and 12,291.57

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Solution

The fourth proportional to 21,723, 29,977.74 and 12,291.57 is: 16,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723 : 29,977.74 = 12,291.57 : x
  2. Step 2: Convert to fraction form
    21,723/29,977.74 = 12,291.57/x
  3. Step 3: Cross multiply
    21,723x = 29,977.74 × 12,291.57
  4. Step 4: Simplify right side
    21,723x = 368,473,489.65
  5. Step 5: Solve for x
    x = 368,473,489.65/21,723
  6. Step 6: Final answer
    x = 16,962.37

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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.