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Finding the Fourth Proportional to 7,863.56, 10,856.19 and 5,214.55

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Solution

The fourth proportional to 7,863.56, 10,856.19 and 5,214.55 is: 7,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.56 : 10,856.19 = 5,214.55 : x
  2. Step 2: Convert to fraction form
    7,863.56/10,856.19 = 5,214.55/x
  3. Step 3: Cross multiply
    7,863.56x = 10,856.19 × 5,214.55
  4. Step 4: Simplify right side
    7,863.56x = 56,610,145.56
  5. Step 5: Solve for x
    x = 56,610,145.56/7,863.56
  6. Step 6: Final answer
    x = 7,199.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.