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Finding the Fourth Proportional to 7,785.70, 11,658.90 and 4,489

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Solution

The fourth proportional to 7,785.70, 11,658.90 and 4,489 is: 6,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.70 : 11,658.90 = 4,489 : x
  2. Step 2: Convert to fraction form
    7,785.70/11,658.90 = 4,489/x
  3. Step 3: Cross multiply
    7,785.70x = 11,658.90 × 4,489
  4. Step 4: Simplify right side
    7,785.70x = 52,336,802.10
  5. Step 5: Solve for x
    x = 52,336,802.10/7,785.70
  6. Step 6: Final answer
    x = 6,722.17

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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.