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Finding the Fourth Proportional to 28,267.82, 42,421.16 and 9,799.82

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Solution

The fourth proportional to 28,267.82, 42,421.16 and 9,799.82 is: 14,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,267.82 : 42,421.16 = 9,799.82 : x
  2. Step 2: Convert to fraction form
    28,267.82/42,421.16 = 9,799.82/x
  3. Step 3: Cross multiply
    28,267.82x = 42,421.16 × 9,799.82
  4. Step 4: Simplify right side
    28,267.82x = 415,719,520.09
  5. Step 5: Solve for x
    x = 415,719,520.09/28,267.82
  6. Step 6: Final answer
    x = 14,706.46

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1.5x scale

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.