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Finding the Fourth Proportional to 9,402.50, 14,110.23 and 3,246.50

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Solution

The fourth proportional to 9,402.50, 14,110.23 and 3,246.50 is: 4,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.50 : 14,110.23 = 3,246.50 : x
  2. Step 2: Convert to fraction form
    9,402.50/14,110.23 = 3,246.50/x
  3. Step 3: Cross multiply
    9,402.50x = 14,110.23 × 3,246.50
  4. Step 4: Simplify right side
    9,402.50x = 45,808,861.70
  5. Step 5: Solve for x
    x = 45,808,861.70/9,402.50
  6. Step 6: Final answer
    x = 4,871.99

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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.