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Finding the Fourth Proportional to 31,866.45, 47,798.86 and 8,492.82

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Solution

The fourth proportional to 31,866.45, 47,798.86 and 8,492.82 is: 12,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.45 : 47,798.86 = 8,492.82 : x
  2. Step 2: Convert to fraction form
    31,866.45/47,798.86 = 8,492.82/x
  3. Step 3: Cross multiply
    31,866.45x = 47,798.86 × 8,492.82
  4. Step 4: Simplify right side
    31,866.45x = 405,947,114.19
  5. Step 5: Solve for x
    x = 405,947,114.19/31,866.45
  6. Step 6: Final answer
    x = 12,739.01

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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.