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Finding the Fourth Proportional to 31,662.84, 47,476.70 and 12,956

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Solution

The fourth proportional to 31,662.84, 47,476.70 and 12,956 is: 19,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.84 : 47,476.70 = 12,956 : x
  2. Step 2: Convert to fraction form
    31,662.84/47,476.70 = 12,956/x
  3. Step 3: Cross multiply
    31,662.84x = 47,476.70 × 12,956
  4. Step 4: Simplify right side
    31,662.84x = 615,108,125.20
  5. Step 5: Solve for x
    x = 615,108,125.20/31,662.84
  6. Step 6: Final answer
    x = 19,426.81

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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.