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Finding the Fourth Proportional to 31,880.39, 47,816.93 and 8,505

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Solution

The fourth proportional to 31,880.39, 47,816.93 and 8,505 is: 12,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.39 : 47,816.93 = 8,505 : x
  2. Step 2: Convert to fraction form
    31,880.39/47,816.93 = 8,505/x
  3. Step 3: Cross multiply
    31,880.39x = 47,816.93 × 8,505
  4. Step 4: Simplify right side
    31,880.39x = 406,683,010.91
  5. Step 5: Solve for x
    x = 406,683,010.91/31,880.39
  6. Step 6: Final answer
    x = 12,756.53

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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.