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Finding the Fourth Proportional to 30,822.40, 46,233.60 and 20,980.90

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Solution

The fourth proportional to 30,822.40, 46,233.60 and 20,980.90 is: 31,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.40 : 46,233.60 = 20,980.90 : x
  2. Step 2: Convert to fraction form
    30,822.40/46,233.60 = 20,980.90/x
  3. Step 3: Cross multiply
    30,822.40x = 46,233.60 × 20,980.90
  4. Step 4: Simplify right side
    30,822.40x = 970,022,538.24
  5. Step 5: Solve for x
    x = 970,022,538.24/30,822.40
  6. Step 6: Final answer
    x = 31,471.35

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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.