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Finding the Fourth Proportional to 31,215, 46,822.55 and 12,747

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Solution

The fourth proportional to 31,215, 46,822.55 and 12,747 is: 19,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215 : 46,822.55 = 12,747 : x
  2. Step 2: Convert to fraction form
    31,215/46,822.55 = 12,747/x
  3. Step 3: Cross multiply
    31,215x = 46,822.55 × 12,747
  4. Step 4: Simplify right side
    31,215x = 596,846,981.12
  5. Step 5: Solve for x
    x = 596,846,981.12/31,215
  6. Step 6: Final answer
    x = 19,120.52

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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.