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Finding the Fourth Proportional to 20,697.60, 31,078.80 and 15,772.80

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Solution

The fourth proportional to 20,697.60, 31,078.80 and 15,772.80 is: 23,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.60 : 31,078.80 = 15,772.80 : x
  2. Step 2: Convert to fraction form
    20,697.60/31,078.80 = 15,772.80/x
  3. Step 3: Cross multiply
    20,697.60x = 31,078.80 × 15,772.80
  4. Step 4: Simplify right side
    20,697.60x = 490,199,696.64
  5. Step 5: Solve for x
    x = 490,199,696.64/20,697.60
  6. Step 6: Final answer
    x = 23,683.89

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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.