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Finding the Fourth Proportional to 31,552.03, 47,328 and 8,178.49

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Solution

The fourth proportional to 31,552.03, 47,328 and 8,178.49 is: 12,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.03 : 47,328 = 8,178.49 : x
  2. Step 2: Convert to fraction form
    31,552.03/47,328 = 8,178.49/x
  3. Step 3: Cross multiply
    31,552.03x = 47,328 × 8,178.49
  4. Step 4: Simplify right side
    31,552.03x = 387,071,574.72
  5. Step 5: Solve for x
    x = 387,071,574.72/31,552.03
  6. Step 6: Final answer
    x = 12,267.72

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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.