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Finding the Fourth Proportional to 28,533, 42,798.69 and 8,808.69

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Solution

The fourth proportional to 28,533, 42,798.69 and 8,808.69 is: 13,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,533 : 42,798.69 = 8,808.69 : x
  2. Step 2: Convert to fraction form
    28,533/42,798.69 = 8,808.69/x
  3. Step 3: Cross multiply
    28,533x = 42,798.69 × 8,808.69
  4. Step 4: Simplify right side
    28,533x = 377,000,392.62
  5. Step 5: Solve for x
    x = 377,000,392.62/28,533
  6. Step 6: Final answer
    x = 13,212.78

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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.