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Finding the Fourth Proportional to 12,742.53, 17,585.07 and 7,707.67

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Solution

The fourth proportional to 12,742.53, 17,585.07 and 7,707.67 is: 10,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.53 : 17,585.07 = 7,707.67 : x
  2. Step 2: Convert to fraction form
    12,742.53/17,585.07 = 7,707.67/x
  3. Step 3: Cross multiply
    12,742.53x = 17,585.07 × 7,707.67
  4. Step 4: Simplify right side
    12,742.53x = 135,540,007.57
  5. Step 5: Solve for x
    x = 135,540,007.57/12,742.53
  6. Step 6: Final answer
    x = 10,636.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.