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Finding the Fourth Proportional to 14,503.50, 20,015.64 and 8,217.90

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Solution

The fourth proportional to 14,503.50, 20,015.64 and 8,217.90 is: 11,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.50 : 20,015.64 = 8,217.90 : x
  2. Step 2: Convert to fraction form
    14,503.50/20,015.64 = 8,217.90/x
  3. Step 3: Cross multiply
    14,503.50x = 20,015.64 × 8,217.90
  4. Step 4: Simplify right side
    14,503.50x = 164,486,527.96
  5. Step 5: Solve for x
    x = 164,486,527.96/14,503.50
  6. Step 6: Final answer
    x = 11,341.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.