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Finding the Fourth Proportional to 13,953.96, 20,930.98 and 9,812.50

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Solution

The fourth proportional to 13,953.96, 20,930.98 and 9,812.50 is: 14,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.96 : 20,930.98 = 9,812.50 : x
  2. Step 2: Convert to fraction form
    13,953.96/20,930.98 = 9,812.50/x
  3. Step 3: Cross multiply
    13,953.96x = 20,930.98 × 9,812.50
  4. Step 4: Simplify right side
    13,953.96x = 205,385,241.25
  5. Step 5: Solve for x
    x = 205,385,241.25/13,953.96
  6. Step 6: Final answer
    x = 14,718.78

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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.