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Finding the Fourth Proportional to 14,008, 19,331.04 and 8,419

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Solution

The fourth proportional to 14,008, 19,331.04 and 8,419 is: 11,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 19,331.04 = 8,419 : x
  2. Step 2: Convert to fraction form
    14,008/19,331.04 = 8,419/x
  3. Step 3: Cross multiply
    14,008x = 19,331.04 × 8,419
  4. Step 4: Simplify right side
    14,008x = 162,748,025.76
  5. Step 5: Solve for x
    x = 162,748,025.76/14,008
  6. Step 6: Final answer
    x = 11,618.22

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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.