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Finding the Fourth Proportional to 28,589, 42,857.94 and 14,541.16

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Solution

The fourth proportional to 28,589, 42,857.94 and 14,541.16 is: 21,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,589 : 42,857.94 = 14,541.16 : x
  2. Step 2: Convert to fraction form
    28,589/42,857.94 = 14,541.16/x
  3. Step 3: Cross multiply
    28,589x = 42,857.94 × 14,541.16
  4. Step 4: Simplify right side
    28,589x = 623,204,162.81
  5. Step 5: Solve for x
    x = 623,204,162.81/28,589
  6. Step 6: Final answer
    x = 21,798.74

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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.