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Finding the Fourth Proportional to 18,963, 28,454.74 and 9,235

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Solution

The fourth proportional to 18,963, 28,454.74 and 9,235 is: 13,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,963 : 28,454.74 = 9,235 : x
  2. Step 2: Convert to fraction form
    18,963/28,454.74 = 9,235/x
  3. Step 3: Cross multiply
    18,963x = 28,454.74 × 9,235
  4. Step 4: Simplify right side
    18,963x = 262,779,523.90
  5. Step 5: Solve for x
    x = 262,779,523.90/18,963
  6. Step 6: Final answer
    x = 13,857.49

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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.