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Finding the Fourth Proportional to 47,873.41, 71,810.11 and 12,812.15

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Solution

The fourth proportional to 47,873.41, 71,810.11 and 12,812.15 is: 19,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873.41 : 71,810.11 = 12,812.15 : x
  2. Step 2: Convert to fraction form
    47,873.41/71,810.11 = 12,812.15/x
  3. Step 3: Cross multiply
    47,873.41x = 71,810.11 × 12,812.15
  4. Step 4: Simplify right side
    47,873.41x = 920,041,900.84
  5. Step 5: Solve for x
    x = 920,041,900.84/47,873.41
  6. Step 6: Final answer
    x = 19,218.22

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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.