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Finding the Fourth Proportional to 14,080, 19,430.40 and 8,192

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Solution

The fourth proportional to 14,080, 19,430.40 and 8,192 is: 11,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080 : 19,430.40 = 8,192 : x
  2. Step 2: Convert to fraction form
    14,080/19,430.40 = 8,192/x
  3. Step 3: Cross multiply
    14,080x = 19,430.40 × 8,192
  4. Step 4: Simplify right side
    14,080x = 159,173,836.80
  5. Step 5: Solve for x
    x = 159,173,836.80/14,080
  6. Step 6: Final answer
    x = 11,304.96

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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.