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Finding the Fourth Proportional to 5,294.57, 7,942.58 and 1,785.58

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Solution

The fourth proportional to 5,294.57, 7,942.58 and 1,785.58 is: 2,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.57 : 7,942.58 = 1,785.58 : x
  2. Step 2: Convert to fraction form
    5,294.57/7,942.58 = 1,785.58/x
  3. Step 3: Cross multiply
    5,294.57x = 7,942.58 × 1,785.58
  4. Step 4: Simplify right side
    5,294.57x = 14,182,072.53
  5. Step 5: Solve for x
    x = 14,182,072.53/5,294.57
  6. Step 6: Final answer
    x = 2,678.61

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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.