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Finding the Fourth Proportional to 8,523.81, 11,762.15 and 4,938.21

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Solution

The fourth proportional to 8,523.81, 11,762.15 and 4,938.21 is: 6,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.81 : 11,762.15 = 4,938.21 : x
  2. Step 2: Convert to fraction form
    8,523.81/11,762.15 = 4,938.21/x
  3. Step 3: Cross multiply
    8,523.81x = 11,762.15 × 4,938.21
  4. Step 4: Simplify right side
    8,523.81x = 58,083,942.06
  5. Step 5: Solve for x
    x = 58,083,942.06/8,523.81
  6. Step 6: Final answer
    x = 6,814.32

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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.