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Finding the Fourth Proportional to 14,097.85, 19,455.03 and 8,129.43

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Solution

The fourth proportional to 14,097.85, 19,455.03 and 8,129.43 is: 11,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.85 : 19,455.03 = 8,129.43 : x
  2. Step 2: Convert to fraction form
    14,097.85/19,455.03 = 8,129.43/x
  3. Step 3: Cross multiply
    14,097.85x = 19,455.03 × 8,129.43
  4. Step 4: Simplify right side
    14,097.85x = 158,158,312.52
  5. Step 5: Solve for x
    x = 158,158,312.52/14,097.85
  6. Step 6: Final answer
    x = 11,218.61

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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.