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Finding the Fourth Proportional to 20,465.92, 30,706.14 and 11,708.20

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Solution

The fourth proportional to 20,465.92, 30,706.14 and 11,708.20 is: 17,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.92 : 30,706.14 = 11,708.20 : x
  2. Step 2: Convert to fraction form
    20,465.92/30,706.14 = 11,708.20/x
  3. Step 3: Cross multiply
    20,465.92x = 30,706.14 × 11,708.20
  4. Step 4: Simplify right side
    20,465.92x = 359,513,628.35
  5. Step 5: Solve for x
    x = 359,513,628.35/20,465.92
  6. Step 6: Final answer
    x = 17,566.45

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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.