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Finding the Fourth Proportional to 31,108.40, 46,711.20 and 17,986.40

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Solution

The fourth proportional to 31,108.40, 46,711.20 and 17,986.40 is: 27,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.40 : 46,711.20 = 17,986.40 : x
  2. Step 2: Convert to fraction form
    31,108.40/46,711.20 = 17,986.40/x
  3. Step 3: Cross multiply
    31,108.40x = 46,711.20 × 17,986.40
  4. Step 4: Simplify right side
    31,108.40x = 840,166,327.68
  5. Step 5: Solve for x
    x = 840,166,327.68/31,108.40
  6. Step 6: Final answer
    x = 27,007.70

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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.