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Finding the Fourth Proportional to 13,725, 18,934.16 and 8,057.93

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Solution

The fourth proportional to 13,725, 18,934.16 and 8,057.93 is: 11,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 18,934.16 = 8,057.93 : x
  2. Step 2: Convert to fraction form
    13,725/18,934.16 = 8,057.93/x
  3. Step 3: Cross multiply
    13,725x = 18,934.16 × 8,057.93
  4. Step 4: Simplify right side
    13,725x = 152,570,000.93
  5. Step 5: Solve for x
    x = 152,570,000.93/13,725
  6. Step 6: Final answer
    x = 11,116.21

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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.