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Finding the Fourth Proportional to 30,982.80, 46,422.90 and 17,812.20

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Solution

The fourth proportional to 30,982.80, 46,422.90 and 17,812.20 is: 26,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.80 : 46,422.90 = 17,812.20 : x
  2. Step 2: Convert to fraction form
    30,982.80/46,422.90 = 17,812.20/x
  3. Step 3: Cross multiply
    30,982.80x = 46,422.90 × 17,812.20
  4. Step 4: Simplify right side
    30,982.80x = 826,893,979.38
  5. Step 5: Solve for x
    x = 826,893,979.38/30,982.80
  6. Step 6: Final answer
    x = 26,688.81

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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.