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Finding the Fourth Proportional to 28,665, 42,999.12 and 10,197

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Solution

The fourth proportional to 28,665, 42,999.12 and 10,197 is: 15,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,665 : 42,999.12 = 10,197 : x
  2. Step 2: Convert to fraction form
    28,665/42,999.12 = 10,197/x
  3. Step 3: Cross multiply
    28,665x = 42,999.12 × 10,197
  4. Step 4: Simplify right side
    28,665x = 438,462,026.64
  5. Step 5: Solve for x
    x = 438,462,026.64/28,665
  6. Step 6: Final answer
    x = 15,296.08

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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.