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Finding the Fourth Proportional to 28,505.91, 42,763.46 and 8,784.46

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Solution

The fourth proportional to 28,505.91, 42,763.46 and 8,784.46 is: 13,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505.91 : 42,763.46 = 8,784.46 : x
  2. Step 2: Convert to fraction form
    28,505.91/42,763.46 = 8,784.46/x
  3. Step 3: Cross multiply
    28,505.91x = 42,763.46 × 8,784.46
  4. Step 4: Simplify right side
    28,505.91x = 375,653,796.92
  5. Step 5: Solve for x
    x = 375,653,796.92/28,505.91
  6. Step 6: Final answer
    x = 13,178.10

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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.