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Finding the Fourth Proportional to 11,754, 16,222.14 and 7,279.56

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Solution

The fourth proportional to 11,754, 16,222.14 and 7,279.56 is: 10,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754 : 16,222.14 = 7,279.56 : x
  2. Step 2: Convert to fraction form
    11,754/16,222.14 = 7,279.56/x
  3. Step 3: Cross multiply
    11,754x = 16,222.14 × 7,279.56
  4. Step 4: Simplify right side
    11,754x = 118,090,041.46
  5. Step 5: Solve for x
    x = 118,090,041.46/11,754
  6. Step 6: Final answer
    x = 10,046.80

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1.5x scale

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.