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Finding the Fourth Proportional to 12,582.76, 18,874.77 and 4,792.18

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Solution

The fourth proportional to 12,582.76, 18,874.77 and 4,792.18 is: 7,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.76 : 18,874.77 = 4,792.18 : x
  2. Step 2: Convert to fraction form
    12,582.76/18,874.77 = 4,792.18/x
  3. Step 3: Cross multiply
    12,582.76x = 18,874.77 × 4,792.18
  4. Step 4: Simplify right side
    12,582.76x = 90,451,295.30
  5. Step 5: Solve for x
    x = 90,451,295.30/12,582.76
  6. Step 6: Final answer
    x = 7,188.51

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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.