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Finding the Fourth Proportional to 14,871.95, 20,523.81 and 8,157.59

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Solution

The fourth proportional to 14,871.95, 20,523.81 and 8,157.59 is: 11,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.95 : 20,523.81 = 8,157.59 : x
  2. Step 2: Convert to fraction form
    14,871.95/20,523.81 = 8,157.59/x
  3. Step 3: Cross multiply
    14,871.95x = 20,523.81 × 8,157.59
  4. Step 4: Simplify right side
    14,871.95x = 167,424,724.60
  5. Step 5: Solve for x
    x = 167,424,724.60/14,871.95
  6. Step 6: Final answer
    x = 11,257.76

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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.