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Finding the Fourth Proportional to 31,506.80, 47,260.20 and 30,892.40

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Solution

The fourth proportional to 31,506.80, 47,260.20 and 30,892.40 is: 46,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.80 : 47,260.20 = 30,892.40 : x
  2. Step 2: Convert to fraction form
    31,506.80/47,260.20 = 30,892.40/x
  3. Step 3: Cross multiply
    31,506.80x = 47,260.20 × 30,892.40
  4. Step 4: Simplify right side
    31,506.80x = 1,459,981,002.48
  5. Step 5: Solve for x
    x = 1,459,981,002.48/31,506.80
  6. Step 6: Final answer
    x = 46,338.60

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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.