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Finding the Fourth Proportional to 20,705.60, 31,065.60 and 9,022.40

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Solution

The fourth proportional to 20,705.60, 31,065.60 and 9,022.40 is: 13,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.60 : 31,065.60 = 9,022.40 : x
  2. Step 2: Convert to fraction form
    20,705.60/31,065.60 = 9,022.40/x
  3. Step 3: Cross multiply
    20,705.60x = 31,065.60 × 9,022.40
  4. Step 4: Simplify right side
    20,705.60x = 280,286,269.44
  5. Step 5: Solve for x
    x = 280,286,269.44/20,705.60
  6. Step 6: Final answer
    x = 13,536.74

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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.