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Finding the Fourth Proportional to 12,573.84, 18,863.09 and 4,140.82

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Solution

The fourth proportional to 12,573.84, 18,863.09 and 4,140.82 is: 6,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.84 : 18,863.09 = 4,140.82 : x
  2. Step 2: Convert to fraction form
    12,573.84/18,863.09 = 4,140.82/x
  3. Step 3: Cross multiply
    12,573.84x = 18,863.09 × 4,140.82
  4. Step 4: Simplify right side
    12,573.84x = 78,108,678.74
  5. Step 5: Solve for x
    x = 78,108,678.74/12,573.84
  6. Step 6: Final answer
    x = 6,212.00

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1.5x scale

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.