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Finding the Fourth Proportional to 31,236, 46,854.05 and 12,768

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Solution

The fourth proportional to 31,236, 46,854.05 and 12,768 is: 19,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236 : 46,854.05 = 12,768 : x
  2. Step 2: Convert to fraction form
    31,236/46,854.05 = 12,768/x
  3. Step 3: Cross multiply
    31,236x = 46,854.05 × 12,768
  4. Step 4: Simplify right side
    31,236x = 598,232,446.56
  5. Step 5: Solve for x
    x = 598,232,446.56/31,236
  6. Step 6: Final answer
    x = 19,152.02

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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.