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Finding the Fourth Proportional to 12,526.83, 18,797.16 and 6,983.30

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Solution

The fourth proportional to 12,526.83, 18,797.16 and 6,983.30 is: 10,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.83 : 18,797.16 = 6,983.30 : x
  2. Step 2: Convert to fraction form
    12,526.83/18,797.16 = 6,983.30/x
  3. Step 3: Cross multiply
    12,526.83x = 18,797.16 × 6,983.30
  4. Step 4: Simplify right side
    12,526.83x = 131,266,113.44
  5. Step 5: Solve for x
    x = 131,266,113.44/12,526.83
  6. Step 6: Final answer
    x = 10,478.80

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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.