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Finding the Fourth Proportional to 28,206.64, 42,309.96 and 9,738.64

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Solution

The fourth proportional to 28,206.64, 42,309.96 and 9,738.64 is: 14,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.64 : 42,309.96 = 9,738.64 : x
  2. Step 2: Convert to fraction form
    28,206.64/42,309.96 = 9,738.64/x
  3. Step 3: Cross multiply
    28,206.64x = 42,309.96 × 9,738.64
  4. Step 4: Simplify right side
    28,206.64x = 412,041,468.85
  5. Step 5: Solve for x
    x = 412,041,468.85/28,206.64
  6. Step 6: Final answer
    x = 14,607.96

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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.