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Finding the Fourth Proportional to 31,822.51, 47,730.12 and 8,450.77

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Solution

The fourth proportional to 31,822.51, 47,730.12 and 8,450.77 is: 12,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.51 : 47,730.12 = 8,450.77 : x
  2. Step 2: Convert to fraction form
    31,822.51/47,730.12 = 8,450.77/x
  3. Step 3: Cross multiply
    31,822.51x = 47,730.12 × 8,450.77
  4. Step 4: Simplify right side
    31,822.51x = 403,356,266.19
  5. Step 5: Solve for x
    x = 403,356,266.19/31,822.51
  6. Step 6: Final answer
    x = 12,675.19

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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.