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Finding the Fourth Proportional to 8,379.96, 12,570.36 and 2,140.02

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Solution

The fourth proportional to 8,379.96, 12,570.36 and 2,140.02 is: 3,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.96 : 12,570.36 = 2,140.02 : x
  2. Step 2: Convert to fraction form
    8,379.96/12,570.36 = 2,140.02/x
  3. Step 3: Cross multiply
    8,379.96x = 12,570.36 × 2,140.02
  4. Step 4: Simplify right side
    8,379.96x = 26,900,821.81
  5. Step 5: Solve for x
    x = 26,900,821.81/8,379.96
  6. Step 6: Final answer
    x = 3,210.14

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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.