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Finding the Fourth Proportional to 13,807.80, 20,730.90 and 8,623.80

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Solution

The fourth proportional to 13,807.80, 20,730.90 and 8,623.80 is: 12,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.80 : 20,730.90 = 8,623.80 : x
  2. Step 2: Convert to fraction form
    13,807.80/20,730.90 = 8,623.80/x
  3. Step 3: Cross multiply
    13,807.80x = 20,730.90 × 8,623.80
  4. Step 4: Simplify right side
    13,807.80x = 178,779,135.42
  5. Step 5: Solve for x
    x = 178,779,135.42/13,807.80
  6. Step 6: Final answer
    x = 12,947.69

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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.