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Finding the Fourth Proportional to 20,742.80, 31,114.20 and 9,078.80

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Solution

The fourth proportional to 20,742.80, 31,114.20 and 9,078.80 is: 13,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.80 : 31,114.20 = 9,078.80 : x
  2. Step 2: Convert to fraction form
    20,742.80/31,114.20 = 9,078.80/x
  3. Step 3: Cross multiply
    20,742.80x = 31,114.20 × 9,078.80
  4. Step 4: Simplify right side
    20,742.80x = 282,479,598.96
  5. Step 5: Solve for x
    x = 282,479,598.96/20,742.80
  6. Step 6: Final answer
    x = 13,618.20

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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.