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Finding the Fourth Proportional to 7,785.70, 11,678.16 and 2,239.00

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Solution

The fourth proportional to 7,785.70, 11,678.16 and 2,239.00 is: 3,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.70 : 11,678.16 = 2,239.00 : x
  2. Step 2: Convert to fraction form
    7,785.70/11,678.16 = 2,239.00/x
  3. Step 3: Cross multiply
    7,785.70x = 11,678.16 × 2,239.00
  4. Step 4: Simplify right side
    7,785.70x = 26,147,341.85
  5. Step 5: Solve for x
    x = 26,147,341.85/7,785.70
  6. Step 6: Final answer
    x = 3,358.38

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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.