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Finding the Fourth Proportional to 7,042, 10,563.15 and 2,661.52

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Solution

The fourth proportional to 7,042, 10,563.15 and 2,661.52 is: 3,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042 : 10,563.15 = 2,661.52 : x
  2. Step 2: Convert to fraction form
    7,042/10,563.15 = 2,661.52/x
  3. Step 3: Cross multiply
    7,042x = 10,563.15 × 2,661.52
  4. Step 4: Simplify right side
    7,042x = 28,114,034.99
  5. Step 5: Solve for x
    x = 28,114,034.99/7,042
  6. Step 6: Final answer
    x = 3,992.34

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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.