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Finding the Fourth Proportional to 13,407.70, 20,107.13 and 4,520.63

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Solution

The fourth proportional to 13,407.70, 20,107.13 and 4,520.63 is: 6,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.70 : 20,107.13 = 4,520.63 : x
  2. Step 2: Convert to fraction form
    13,407.70/20,107.13 = 4,520.63/x
  3. Step 3: Cross multiply
    13,407.70x = 20,107.13 × 4,520.63
  4. Step 4: Simplify right side
    13,407.70x = 90,896,841.44
  5. Step 5: Solve for x
    x = 90,896,841.44/13,407.70
  6. Step 6: Final answer
    x = 6,779.45

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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.