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Finding the Fourth Proportional to 31,042.80, 46,612.80 and 21,225.60

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Solution

The fourth proportional to 31,042.80, 46,612.80 and 21,225.60 is: 31,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.80 : 46,612.80 = 21,225.60 : x
  2. Step 2: Convert to fraction form
    31,042.80/46,612.80 = 21,225.60/x
  3. Step 3: Cross multiply
    31,042.80x = 46,612.80 × 21,225.60
  4. Step 4: Simplify right side
    31,042.80x = 989,384,647.68
  5. Step 5: Solve for x
    x = 989,384,647.68/31,042.80
  6. Step 6: Final answer
    x = 31,871.63

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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.