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Finding the Fourth Proportional to 28,317, 42,495 and 9,849

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Solution

The fourth proportional to 28,317, 42,495 and 9,849 is: 14,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,317 : 42,495 = 9,849 : x
  2. Step 2: Convert to fraction form
    28,317/42,495 = 9,849/x
  3. Step 3: Cross multiply
    28,317x = 42,495 × 9,849
  4. Step 4: Simplify right side
    28,317x = 418,533,255
  5. Step 5: Solve for x
    x = 418,533,255/28,317
  6. Step 6: Final answer
    x = 14,780.28

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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.