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Finding the Fourth Proportional to 22,425.26, 30,946.05 and 12,992.00

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Solution

The fourth proportional to 22,425.26, 30,946.05 and 12,992.00 is: 17,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.26 : 30,946.05 = 12,992.00 : x
  2. Step 2: Convert to fraction form
    22,425.26/30,946.05 = 12,992.00/x
  3. Step 3: Cross multiply
    22,425.26x = 30,946.05 × 12,992.00
  4. Step 4: Simplify right side
    22,425.26x = 402,050,926.87
  5. Step 5: Solve for x
    x = 402,050,926.87/22,425.26
  6. Step 6: Final answer
    x = 17,928.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.