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Finding the Fourth Proportional to 7,785.56, 11,678.34 and 7,008.82

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Solution

The fourth proportional to 7,785.56, 11,678.34 and 7,008.82 is: 10,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.56 : 11,678.34 = 7,008.82 : x
  2. Step 2: Convert to fraction form
    7,785.56/11,678.34 = 7,008.82/x
  3. Step 3: Cross multiply
    7,785.56x = 11,678.34 × 7,008.82
  4. Step 4: Simplify right side
    7,785.56x = 81,851,353.76
  5. Step 5: Solve for x
    x = 81,851,353.76/7,785.56
  6. Step 6: Final answer
    x = 10,513.22

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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.