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Finding the Fourth Proportional to 28,857, 43,259.58 and 10,384.68

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Solution

The fourth proportional to 28,857, 43,259.58 and 10,384.68 is: 15,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857 : 43,259.58 = 10,384.68 : x
  2. Step 2: Convert to fraction form
    28,857/43,259.58 = 10,384.68/x
  3. Step 3: Cross multiply
    28,857x = 43,259.58 × 10,384.68
  4. Step 4: Simplify right side
    28,857x = 449,236,895.23
  5. Step 5: Solve for x
    x = 449,236,895.23/28,857
  6. Step 6: Final answer
    x = 15,567.69

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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.