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Finding the Fourth Proportional to 6,458, 9,690.50 and 5,000

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Solution

The fourth proportional to 6,458, 9,690.50 and 5,000 is: 7,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 9,690.50 = 5,000 : x
  2. Step 2: Convert to fraction form
    6,458/9,690.50 = 5,000/x
  3. Step 3: Cross multiply
    6,458x = 9,690.50 × 5,000
  4. Step 4: Simplify right side
    6,458x = 48,452,500
  5. Step 5: Solve for x
    x = 48,452,500/6,458
  6. Step 6: Final answer
    x = 7,502.71

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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.