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Finding the Fourth Proportional to 9,917, 14,875.40 and 2,991.50

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Solution

The fourth proportional to 9,917, 14,875.40 and 2,991.50 is: 4,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917 : 14,875.40 = 2,991.50 : x
  2. Step 2: Convert to fraction form
    9,917/14,875.40 = 2,991.50/x
  3. Step 3: Cross multiply
    9,917x = 14,875.40 × 2,991.50
  4. Step 4: Simplify right side
    9,917x = 44,499,759.10
  5. Step 5: Solve for x
    x = 44,499,759.10/9,917
  6. Step 6: Final answer
    x = 4,487.22

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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.