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Finding the Fourth Proportional to 28,157.78, 42,238.08 and 8,434.46

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Solution

The fourth proportional to 28,157.78, 42,238.08 and 8,434.46 is: 12,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.78 : 42,238.08 = 8,434.46 : x
  2. Step 2: Convert to fraction form
    28,157.78/42,238.08 = 8,434.46/x
  3. Step 3: Cross multiply
    28,157.78x = 42,238.08 × 8,434.46
  4. Step 4: Simplify right side
    28,157.78x = 356,255,359.32
  5. Step 5: Solve for x
    x = 356,255,359.32/28,157.78
  6. Step 6: Final answer
    x = 12,652.11

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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.