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Finding the Fourth Proportional to 7,863.81, 10,856.53 and 5,214.80

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Solution

The fourth proportional to 7,863.81, 10,856.53 and 5,214.80 is: 7,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.81 : 10,856.53 = 5,214.80 : x
  2. Step 2: Convert to fraction form
    7,863.81/10,856.53 = 5,214.80/x
  3. Step 3: Cross multiply
    7,863.81x = 10,856.53 × 5,214.80
  4. Step 4: Simplify right side
    7,863.81x = 56,614,632.64
  5. Step 5: Solve for x
    x = 56,614,632.64/7,863.81
  6. Step 6: Final answer
    x = 7,199.39

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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.