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Finding the Fourth Proportional to 28,589.94, 42,887.82 and 9,867.54

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Solution

The fourth proportional to 28,589.94, 42,887.82 and 9,867.54 is: 14,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,589.94 : 42,887.82 = 9,867.54 : x
  2. Step 2: Convert to fraction form
    28,589.94/42,887.82 = 9,867.54/x
  3. Step 3: Cross multiply
    28,589.94x = 42,887.82 × 9,867.54
  4. Step 4: Simplify right side
    28,589.94x = 423,197,279.36
  5. Step 5: Solve for x
    x = 423,197,279.36/28,589.94
  6. Step 6: Final answer
    x = 14,802.31

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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.