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Finding the Fourth Proportional to 5,143.93, 7,714.04 and 1,856.14

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Solution

The fourth proportional to 5,143.93, 7,714.04 and 1,856.14 is: 2,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.93 : 7,714.04 = 1,856.14 : x
  2. Step 2: Convert to fraction form
    5,143.93/7,714.04 = 1,856.14/x
  3. Step 3: Cross multiply
    5,143.93x = 7,714.04 × 1,856.14
  4. Step 4: Simplify right side
    5,143.93x = 14,318,338.21
  5. Step 5: Solve for x
    x = 14,318,338.21/5,143.93
  6. Step 6: Final answer
    x = 2,783.54

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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.