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Finding the Fourth Proportional to 9,937, 14,905.50 and 2,641

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Solution

The fourth proportional to 9,937, 14,905.50 and 2,641 is: 3,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937 : 14,905.50 = 2,641 : x
  2. Step 2: Convert to fraction form
    9,937/14,905.50 = 2,641/x
  3. Step 3: Cross multiply
    9,937x = 14,905.50 × 2,641
  4. Step 4: Simplify right side
    9,937x = 39,365,425.50
  5. Step 5: Solve for x
    x = 39,365,425.50/9,937
  6. Step 6: Final answer
    x = 3,961.50

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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.