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Finding the Fourth Proportional to 27,113.30, 40,666.20 and 8,406.20

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Solution

The fourth proportional to 27,113.30, 40,666.20 and 8,406.20 is: 12,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.30 : 40,666.20 = 8,406.20 : x
  2. Step 2: Convert to fraction form
    27,113.30/40,666.20 = 8,406.20/x
  3. Step 3: Cross multiply
    27,113.30x = 40,666.20 × 8,406.20
  4. Step 4: Simplify right side
    27,113.30x = 341,848,210.44
  5. Step 5: Solve for x
    x = 341,848,210.44/27,113.30
  6. Step 6: Final answer
    x = 12,608.14

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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.