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Finding the Fourth Proportional to 13,817, 20,746.26 and 8,295.05

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Solution

The fourth proportional to 13,817, 20,746.26 and 8,295.05 is: 12,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817 : 20,746.26 = 8,295.05 : x
  2. Step 2: Convert to fraction form
    13,817/20,746.26 = 8,295.05/x
  3. Step 3: Cross multiply
    13,817x = 20,746.26 × 8,295.05
  4. Step 4: Simplify right side
    13,817x = 172,091,264.01
  5. Step 5: Solve for x
    x = 172,091,264.01/13,817
  6. Step 6: Final answer
    x = 12,455.04

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1.5x scale

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.