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Finding the Fourth Proportional to 20,762.70, 31,172.85 and 12,986.70

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Solution

The fourth proportional to 20,762.70, 31,172.85 and 12,986.70 is: 19,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.70 : 31,172.85 = 12,986.70 : x
  2. Step 2: Convert to fraction form
    20,762.70/31,172.85 = 12,986.70/x
  3. Step 3: Cross multiply
    20,762.70x = 31,172.85 × 12,986.70
  4. Step 4: Simplify right side
    20,762.70x = 404,832,451.10
  5. Step 5: Solve for x
    x = 404,832,451.10/20,762.70
  6. Step 6: Final answer
    x = 19,498.06

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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.