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Finding the Fourth Proportional to 31,784.33, 47,668.50 and 13,069.59

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Solution

The fourth proportional to 31,784.33, 47,668.50 and 13,069.59 is: 19,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.33 : 47,668.50 = 13,069.59 : x
  2. Step 2: Convert to fraction form
    31,784.33/47,668.50 = 13,069.59/x
  3. Step 3: Cross multiply
    31,784.33x = 47,668.50 × 13,069.59
  4. Step 4: Simplify right side
    31,784.33x = 623,007,750.92
  5. Step 5: Solve for x
    x = 623,007,750.92/31,784.33
  6. Step 6: Final answer
    x = 19,601.10

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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.