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Finding the Fourth Proportional to 28,505.32, 42,762 and 8,785.48

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Solution

The fourth proportional to 28,505.32, 42,762 and 8,785.48 is: 13,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505.32 : 42,762 = 8,785.48 : x
  2. Step 2: Convert to fraction form
    28,505.32/42,762 = 8,785.48/x
  3. Step 3: Cross multiply
    28,505.32x = 42,762 × 8,785.48
  4. Step 4: Simplify right side
    28,505.32x = 375,684,695.76
  5. Step 5: Solve for x
    x = 375,684,695.76/28,505.32
  6. Step 6: Final answer
    x = 13,179.46

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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.