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Finding the Fourth Proportional to 28,512.58, 42,768.96 and 9,798

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Solution

The fourth proportional to 28,512.58, 42,768.96 and 9,798 is: 14,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512.58 : 42,768.96 = 9,798 : x
  2. Step 2: Convert to fraction form
    28,512.58/42,768.96 = 9,798/x
  3. Step 3: Cross multiply
    28,512.58x = 42,768.96 × 9,798
  4. Step 4: Simplify right side
    28,512.58x = 419,050,270.08
  5. Step 5: Solve for x
    x = 419,050,270.08/28,512.58
  6. Step 6: Final answer
    x = 14,697.03

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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.