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Finding the Fourth Proportional to 8,379.84, 11,564.10 and 4,842.84

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Solution

The fourth proportional to 8,379.84, 11,564.10 and 4,842.84 is: 6,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.84 : 11,564.10 = 4,842.84 : x
  2. Step 2: Convert to fraction form
    8,379.84/11,564.10 = 4,842.84/x
  3. Step 3: Cross multiply
    8,379.84x = 11,564.10 × 4,842.84
  4. Step 4: Simplify right side
    8,379.84x = 56,003,086.04
  5. Step 5: Solve for x
    x = 56,003,086.04/8,379.84
  6. Step 6: Final answer
    x = 6,683.07

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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.