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Finding the Fourth Proportional to 10,262.99, 14,142 and 7,077.26

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Solution

The fourth proportional to 10,262.99, 14,142 and 7,077.26 is: 9,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.99 : 14,142 = 7,077.26 : x
  2. Step 2: Convert to fraction form
    10,262.99/14,142 = 7,077.26/x
  3. Step 3: Cross multiply
    10,262.99x = 14,142 × 7,077.26
  4. Step 4: Simplify right side
    10,262.99x = 100,086,610.92
  5. Step 5: Solve for x
    x = 100,086,610.92/10,262.99
  6. Step 6: Final answer
    x = 9,752.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.