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Finding the Fourth Proportional to 30,874.91, 46,314.87 and 8,690.07

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Solution

The fourth proportional to 30,874.91, 46,314.87 and 8,690.07 is: 13,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.91 : 46,314.87 = 8,690.07 : x
  2. Step 2: Convert to fraction form
    30,874.91/46,314.87 = 8,690.07/x
  3. Step 3: Cross multiply
    30,874.91x = 46,314.87 × 8,690.07
  4. Step 4: Simplify right side
    30,874.91x = 402,479,462.34
  5. Step 5: Solve for x
    x = 402,479,462.34/30,874.91
  6. Step 6: Final answer
    x = 13,035.81

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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.