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Finding the Fourth Proportional to 14,144.76, 19,520.46 and 7,857

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Solution

The fourth proportional to 14,144.76, 19,520.46 and 7,857 is: 10,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.76 : 19,520.46 = 7,857 : x
  2. Step 2: Convert to fraction form
    14,144.76/19,520.46 = 7,857/x
  3. Step 3: Cross multiply
    14,144.76x = 19,520.46 × 7,857
  4. Step 4: Simplify right side
    14,144.76x = 153,372,254.22
  5. Step 5: Solve for x
    x = 153,372,254.22/14,144.76
  6. Step 6: Final answer
    x = 10,843.04

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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.