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Finding the Fourth Proportional to 30,719.42, 46,082.42 and 8,532.86

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Solution

The fourth proportional to 30,719.42, 46,082.42 and 8,532.86 is: 12,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.42 : 46,082.42 = 8,532.86 : x
  2. Step 2: Convert to fraction form
    30,719.42/46,082.42 = 8,532.86/x
  3. Step 3: Cross multiply
    30,719.42x = 46,082.42 × 8,532.86
  4. Step 4: Simplify right side
    30,719.42x = 393,214,838.32
  5. Step 5: Solve for x
    x = 393,214,838.32/30,719.42
  6. Step 6: Final answer
    x = 12,800.20

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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.