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Finding the Fourth Proportional to 14,013, 19,337.94 and 7,725.78

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Solution

The fourth proportional to 14,013, 19,337.94 and 7,725.78 is: 10,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 19,337.94 = 7,725.78 : x
  2. Step 2: Convert to fraction form
    14,013/19,337.94 = 7,725.78/x
  3. Step 3: Cross multiply
    14,013x = 19,337.94 × 7,725.78
  4. Step 4: Simplify right side
    14,013x = 149,400,670.09
  5. Step 5: Solve for x
    x = 149,400,670.09/14,013
  6. Step 6: Final answer
    x = 10,661.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.