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Finding the Fourth Proportional to 14,230.60, 19,638.14 and 7,857.59

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Solution

The fourth proportional to 14,230.60, 19,638.14 and 7,857.59 is: 10,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.60 : 19,638.14 = 7,857.59 : x
  2. Step 2: Convert to fraction form
    14,230.60/19,638.14 = 7,857.59/x
  3. Step 3: Cross multiply
    14,230.60x = 19,638.14 × 7,857.59
  4. Step 4: Simplify right side
    14,230.60x = 154,308,315.00
  5. Step 5: Solve for x
    x = 154,308,315.00/14,230.60
  6. Step 6: Final answer
    x = 10,843.42

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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.