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Finding the Fourth Proportional to 28,363, 42,563.94 and 9,895

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Solution

The fourth proportional to 28,363, 42,563.94 and 9,895 is: 14,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,363 : 42,563.94 = 9,895 : x
  2. Step 2: Convert to fraction form
    28,363/42,563.94 = 9,895/x
  3. Step 3: Cross multiply
    28,363x = 42,563.94 × 9,895
  4. Step 4: Simplify right side
    28,363x = 421,170,186.30
  5. Step 5: Solve for x
    x = 421,170,186.30/28,363
  6. Step 6: Final answer
    x = 14,849.28

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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.