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Finding the Fourth Proportional to 30,707.91, 45,987.98 and 20,817.20

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Solution

The fourth proportional to 30,707.91, 45,987.98 and 20,817.20 is: 31,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.91 : 45,987.98 = 20,817.20 : x
  2. Step 2: Convert to fraction form
    30,707.91/45,987.98 = 20,817.20/x
  3. Step 3: Cross multiply
    30,707.91x = 45,987.98 × 20,817.20
  4. Step 4: Simplify right side
    30,707.91x = 957,340,988.14
  5. Step 5: Solve for x
    x = 957,340,988.14/30,707.91
  6. Step 6: Final answer
    x = 31,175.71

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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.