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Finding the Fourth Proportional to 7,894.08, 11,789.94 and 7,152.21

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Solution

The fourth proportional to 7,894.08, 11,789.94 and 7,152.21 is: 10,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.08 : 11,789.94 = 7,152.21 : x
  2. Step 2: Convert to fraction form
    7,894.08/11,789.94 = 7,152.21/x
  3. Step 3: Cross multiply
    7,894.08x = 11,789.94 × 7,152.21
  4. Step 4: Simplify right side
    7,894.08x = 84,324,126.77
  5. Step 5: Solve for x
    x = 84,324,126.77/7,894.08
  6. Step 6: Final answer
    x = 10,681.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.