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Finding the Fourth Proportional to 31,124.80, 46,687.20 and 27,431.20

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Solution

The fourth proportional to 31,124.80, 46,687.20 and 27,431.20 is: 41,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.80 : 46,687.20 = 27,431.20 : x
  2. Step 2: Convert to fraction form
    31,124.80/46,687.20 = 27,431.20/x
  3. Step 3: Cross multiply
    31,124.80x = 46,687.20 × 27,431.20
  4. Step 4: Simplify right side
    31,124.80x = 1,280,685,920.64
  5. Step 5: Solve for x
    x = 1,280,685,920.64/31,124.80
  6. Step 6: Final answer
    x = 41,146.80

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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.