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Finding the Fourth Proportional to 31,617.94, 47,455.62 and 16,839.40

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Solution

The fourth proportional to 31,617.94, 47,455.62 and 16,839.40 is: 25,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.94 : 47,455.62 = 16,839.40 : x
  2. Step 2: Convert to fraction form
    31,617.94/47,455.62 = 16,839.40/x
  3. Step 3: Cross multiply
    31,617.94x = 47,455.62 × 16,839.40
  4. Step 4: Simplify right side
    31,617.94x = 799,124,167.43
  5. Step 5: Solve for x
    x = 799,124,167.43/31,617.94
  6. Step 6: Final answer
    x = 25,274.39

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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.