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Finding the Fourth Proportional to 5,230.50, 7,842.57 and 2,458

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Solution

The fourth proportional to 5,230.50, 7,842.57 and 2,458 is: 3,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.50 : 7,842.57 = 2,458 : x
  2. Step 2: Convert to fraction form
    5,230.50/7,842.57 = 2,458/x
  3. Step 3: Cross multiply
    5,230.50x = 7,842.57 × 2,458
  4. Step 4: Simplify right side
    5,230.50x = 19,277,037.06
  5. Step 5: Solve for x
    x = 19,277,037.06/5,230.50
  6. Step 6: Final answer
    x = 3,685.51

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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.