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Finding the Fourth Proportional to 47,878, 71,817 and 12,816.79

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Solution

The fourth proportional to 47,878, 71,817 and 12,816.79 is: 19,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878 : 71,817 = 12,816.79 : x
  2. Step 2: Convert to fraction form
    47,878/71,817 = 12,816.79/x
  3. Step 3: Cross multiply
    47,878x = 71,817 × 12,816.79
  4. Step 4: Simplify right side
    47,878x = 920,463,407.43
  5. Step 5: Solve for x
    x = 920,463,407.43/47,878
  6. Step 6: Final answer
    x = 19,225.19

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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.