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Finding the Fourth Proportional to 31,807.70, 47,711.55 and 16,255.70

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Solution

The fourth proportional to 31,807.70, 47,711.55 and 16,255.70 is: 24,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.70 : 47,711.55 = 16,255.70 : x
  2. Step 2: Convert to fraction form
    31,807.70/47,711.55 = 16,255.70/x
  3. Step 3: Cross multiply
    31,807.70x = 47,711.55 × 16,255.70
  4. Step 4: Simplify right side
    31,807.70x = 775,584,643.34
  5. Step 5: Solve for x
    x = 775,584,643.34/31,807.70
  6. Step 6: Final answer
    x = 24,383.55

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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.