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Finding the Fourth Proportional to 47,865.37, 71,798.06 and 12,804.12

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Solution

The fourth proportional to 47,865.37, 71,798.06 and 12,804.12 is: 19,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,865.37 : 71,798.06 = 12,804.12 : x
  2. Step 2: Convert to fraction form
    47,865.37/71,798.06 = 12,804.12/x
  3. Step 3: Cross multiply
    47,865.37x = 71,798.06 × 12,804.12
  4. Step 4: Simplify right side
    47,865.37x = 919,310,752.07
  5. Step 5: Solve for x
    x = 919,310,752.07/47,865.37
  6. Step 6: Final answer
    x = 19,206.18

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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.