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Finding the Fourth Proportional to 9,279.78, 13,919.76 and 7,428.48

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Solution

The fourth proportional to 9,279.78, 13,919.76 and 7,428.48 is: 11,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.78 : 13,919.76 = 7,428.48 : x
  2. Step 2: Convert to fraction form
    9,279.78/13,919.76 = 7,428.48/x
  3. Step 3: Cross multiply
    9,279.78x = 13,919.76 × 7,428.48
  4. Step 4: Simplify right side
    9,279.78x = 103,402,658.76
  5. Step 5: Solve for x
    x = 103,402,658.76/9,279.78
  6. Step 6: Final answer
    x = 11,142.79

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1.5x scale

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.