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Finding the Fourth Proportional to 31,768.84, 47,622.26 and 15,124.40

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Solution

The fourth proportional to 31,768.84, 47,622.26 and 15,124.40 is: 22,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.84 : 47,622.26 = 15,124.40 : x
  2. Step 2: Convert to fraction form
    31,768.84/47,622.26 = 15,124.40/x
  3. Step 3: Cross multiply
    31,768.84x = 47,622.26 × 15,124.40
  4. Step 4: Simplify right side
    31,768.84x = 720,257,908.84
  5. Step 5: Solve for x
    x = 720,257,908.84/31,768.84
  6. Step 6: Final answer
    x = 22,671.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.