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Finding the Fourth Proportional to 9,171, 13,756.77 and 2,245.50

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Solution

The fourth proportional to 9,171, 13,756.77 and 2,245.50 is: 3,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171 : 13,756.77 = 2,245.50 : x
  2. Step 2: Convert to fraction form
    9,171/13,756.77 = 2,245.50/x
  3. Step 3: Cross multiply
    9,171x = 13,756.77 × 2,245.50
  4. Step 4: Simplify right side
    9,171x = 30,890,827.04
  5. Step 5: Solve for x
    x = 30,890,827.04/9,171
  6. Step 6: Final answer
    x = 3,368.32

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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.