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Finding the Fourth Proportional to 13,760.78, 18,980.16 and 8,458.52

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Solution

The fourth proportional to 13,760.78, 18,980.16 and 8,458.52 is: 11,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.78 : 18,980.16 = 8,458.52 : x
  2. Step 2: Convert to fraction form
    13,760.78/18,980.16 = 8,458.52/x
  3. Step 3: Cross multiply
    13,760.78x = 18,980.16 × 8,458.52
  4. Step 4: Simplify right side
    13,760.78x = 160,544,062.96
  5. Step 5: Solve for x
    x = 160,544,062.96/13,760.78
  6. Step 6: Final answer
    x = 11,666.79

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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.