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Finding the Fourth Proportional to 31,798.69, 47,698.94 and 8,425.13

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Solution

The fourth proportional to 31,798.69, 47,698.94 and 8,425.13 is: 12,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.69 : 47,698.94 = 8,425.13 : x
  2. Step 2: Convert to fraction form
    31,798.69/47,698.94 = 8,425.13/x
  3. Step 3: Cross multiply
    31,798.69x = 47,698.94 × 8,425.13
  4. Step 4: Simplify right side
    31,798.69x = 401,869,770.36
  5. Step 5: Solve for x
    x = 401,869,770.36/31,798.69
  6. Step 6: Final answer
    x = 12,637.93

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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.