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Finding the Fourth Proportional to 28,458, 39,273.12 and 17,280

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Solution

The fourth proportional to 28,458, 39,273.12 and 17,280 is: 23,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,458 : 39,273.12 = 17,280 : x
  2. Step 2: Convert to fraction form
    28,458/39,273.12 = 17,280/x
  3. Step 3: Cross multiply
    28,458x = 39,273.12 × 17,280
  4. Step 4: Simplify right side
    28,458x = 678,639,513.60
  5. Step 5: Solve for x
    x = 678,639,513.60/28,458
  6. Step 6: Final answer
    x = 23,847.06

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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.