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Finding the Fourth Proportional to 7,161.60, 10,742.40 and 6,297.60

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Solution

The fourth proportional to 7,161.60, 10,742.40 and 6,297.60 is: 9,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.60 : 10,742.40 = 6,297.60 : x
  2. Step 2: Convert to fraction form
    7,161.60/10,742.40 = 6,297.60/x
  3. Step 3: Cross multiply
    7,161.60x = 10,742.40 × 6,297.60
  4. Step 4: Simplify right side
    7,161.60x = 67,651,338.24
  5. Step 5: Solve for x
    x = 67,651,338.24/7,161.60
  6. Step 6: Final answer
    x = 9,446.40

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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.