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Finding the Fourth Proportional to 14,611.96, 20,161.02 and 8,643.16

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Solution

The fourth proportional to 14,611.96, 20,161.02 and 8,643.16 is: 11,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.96 : 20,161.02 = 8,643.16 : x
  2. Step 2: Convert to fraction form
    14,611.96/20,161.02 = 8,643.16/x
  3. Step 3: Cross multiply
    14,611.96x = 20,161.02 × 8,643.16
  4. Step 4: Simplify right side
    14,611.96x = 174,254,921.62
  5. Step 5: Solve for x
    x = 174,254,921.62/14,611.96
  6. Step 6: Final answer
    x = 11,925.50

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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.