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Finding the Fourth Proportional to 17,379.68, 23,978.32 and 9,825.28

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Solution

The fourth proportional to 17,379.68, 23,978.32 and 9,825.28 is: 13,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,379.68 : 23,978.32 = 9,825.28 : x
  2. Step 2: Convert to fraction form
    17,379.68/23,978.32 = 9,825.28/x
  3. Step 3: Cross multiply
    17,379.68x = 23,978.32 × 9,825.28
  4. Step 4: Simplify right side
    17,379.68x = 235,593,707.93
  5. Step 5: Solve for x
    x = 235,593,707.93/17,379.68
  6. Step 6: Final answer
    x = 13,555.70

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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.