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Finding the Fourth Proportional to 14,798, 20,420.41 and 8,426.15

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Solution

The fourth proportional to 14,798, 20,420.41 and 8,426.15 is: 11,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798 : 20,420.41 = 8,426.15 : x
  2. Step 2: Convert to fraction form
    14,798/20,420.41 = 8,426.15/x
  3. Step 3: Cross multiply
    14,798x = 20,420.41 × 8,426.15
  4. Step 4: Simplify right side
    14,798x = 172,065,437.72
  5. Step 5: Solve for x
    x = 172,065,437.72/14,798
  6. Step 6: Final answer
    x = 11,627.61

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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.