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Finding the Fourth Proportional to 28,512.99, 42,754.84 and 9,788.00

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Solution

The fourth proportional to 28,512.99, 42,754.84 and 9,788.00 is: 14,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512.99 : 42,754.84 = 9,788.00 : x
  2. Step 2: Convert to fraction form
    28,512.99/42,754.84 = 9,788.00/x
  3. Step 3: Cross multiply
    28,512.99x = 42,754.84 × 9,788.00
  4. Step 4: Simplify right side
    28,512.99x = 418,484,135.68
  5. Step 5: Solve for x
    x = 418,484,135.68/28,512.99
  6. Step 6: Final answer
    x = 14,676.96

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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.