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Finding the Fourth Proportional to 5,809.78, 8,714.76 and 1,861.78

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Solution

The fourth proportional to 5,809.78, 8,714.76 and 1,861.78 is: 2,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.78 : 8,714.76 = 1,861.78 : x
  2. Step 2: Convert to fraction form
    5,809.78/8,714.76 = 1,861.78/x
  3. Step 3: Cross multiply
    5,809.78x = 8,714.76 × 1,861.78
  4. Step 4: Simplify right side
    5,809.78x = 16,224,965.87
  5. Step 5: Solve for x
    x = 16,224,965.87/5,809.78
  6. Step 6: Final answer
    x = 2,792.70

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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.