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Finding the Fourth Proportional to 28,754.64, 43,131.96 and 16,434

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Solution

The fourth proportional to 28,754.64, 43,131.96 and 16,434 is: 24,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,754.64 : 43,131.96 = 16,434 : x
  2. Step 2: Convert to fraction form
    28,754.64/43,131.96 = 16,434/x
  3. Step 3: Cross multiply
    28,754.64x = 43,131.96 × 16,434
  4. Step 4: Simplify right side
    28,754.64x = 708,830,630.64
  5. Step 5: Solve for x
    x = 708,830,630.64/28,754.64
  6. Step 6: Final answer
    x = 24,651

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.