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Finding the Fourth Proportional to 7,130, 10,695 and 2,513

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Solution

The fourth proportional to 7,130, 10,695 and 2,513 is: 3,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130 : 10,695 = 2,513 : x
  2. Step 2: Convert to fraction form
    7,130/10,695 = 2,513/x
  3. Step 3: Cross multiply
    7,130x = 10,695 × 2,513
  4. Step 4: Simplify right side
    7,130x = 26,876,535
  5. Step 5: Solve for x
    x = 26,876,535/7,130
  6. Step 6: Final answer
    x = 3,769.50

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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.