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Finding the Fourth Proportional to 9,171, 13,748.23 and 3,323.50

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Solution

The fourth proportional to 9,171, 13,748.23 and 3,323.50 is: 4,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171 : 13,748.23 = 3,323.50 : x
  2. Step 2: Convert to fraction form
    9,171/13,748.23 = 3,323.50/x
  3. Step 3: Cross multiply
    9,171x = 13,748.23 × 3,323.50
  4. Step 4: Simplify right side
    9,171x = 45,692,242.41
  5. Step 5: Solve for x
    x = 45,692,242.41/9,171
  6. Step 6: Final answer
    x = 4,982.25

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1.5x scale

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.