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Finding the Fourth Proportional to 14,080, 19,430.40 and 7,793.32

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Solution

The fourth proportional to 14,080, 19,430.40 and 7,793.32 is: 10,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080 : 19,430.40 = 7,793.32 : x
  2. Step 2: Convert to fraction form
    14,080/19,430.40 = 7,793.32/x
  3. Step 3: Cross multiply
    14,080x = 19,430.40 × 7,793.32
  4. Step 4: Simplify right side
    14,080x = 151,427,324.93
  5. Step 5: Solve for x
    x = 151,427,324.93/14,080
  6. Step 6: Final answer
    x = 10,754.78

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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.