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Finding the Fourth Proportional to 28,197, 42,296.18 and 9,477.27

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Solution

The fourth proportional to 28,197, 42,296.18 and 9,477.27 is: 14,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197 : 42,296.18 = 9,477.27 : x
  2. Step 2: Convert to fraction form
    28,197/42,296.18 = 9,477.27/x
  3. Step 3: Cross multiply
    28,197x = 42,296.18 × 9,477.27
  4. Step 4: Simplify right side
    28,197x = 400,852,270.44
  5. Step 5: Solve for x
    x = 400,852,270.44/28,197
  6. Step 6: Final answer
    x = 14,216.13

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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.