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Finding the Fourth Proportional to 28,275, 42,412.50 and 8,553.12

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Solution

The fourth proportional to 28,275, 42,412.50 and 8,553.12 is: 12,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275 : 42,412.50 = 8,553.12 : x
  2. Step 2: Convert to fraction form
    28,275/42,412.50 = 8,553.12/x
  3. Step 3: Cross multiply
    28,275x = 42,412.50 × 8,553.12
  4. Step 4: Simplify right side
    28,275x = 362,759,202.00
  5. Step 5: Solve for x
    x = 362,759,202.00/28,275
  6. Step 6: Final answer
    x = 12,829.68

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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.