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Finding the Fourth Proportional to 13,570, 18,725.07 and 7,905.94

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Solution

The fourth proportional to 13,570, 18,725.07 and 7,905.94 is: 10,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570 : 18,725.07 = 7,905.94 : x
  2. Step 2: Convert to fraction form
    13,570/18,725.07 = 7,905.94/x
  3. Step 3: Cross multiply
    13,570x = 18,725.07 × 7,905.94
  4. Step 4: Simplify right side
    13,570x = 148,039,279.92
  5. Step 5: Solve for x
    x = 148,039,279.92/13,570
  6. Step 6: Final answer
    x = 10,909.31

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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.