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Finding the Fourth Proportional to 28,157.35, 42,237.42 and 8,434.02

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Solution

The fourth proportional to 28,157.35, 42,237.42 and 8,434.02 is: 12,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.35 : 42,237.42 = 8,434.02 : x
  2. Step 2: Convert to fraction form
    28,157.35/42,237.42 = 8,434.02/x
  3. Step 3: Cross multiply
    28,157.35x = 42,237.42 × 8,434.02
  4. Step 4: Simplify right side
    28,157.35x = 356,231,245.03
  5. Step 5: Solve for x
    x = 356,231,245.03/28,157.35
  6. Step 6: Final answer
    x = 12,651.45

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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.