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Finding the Fourth Proportional to 17,378.91, 23,983.11 and 9,825.39

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Solution

The fourth proportional to 17,378.91, 23,983.11 and 9,825.39 is: 13,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.91 : 23,983.11 = 9,825.39 : x
  2. Step 2: Convert to fraction form
    17,378.91/23,983.11 = 9,825.39/x
  3. Step 3: Cross multiply
    17,378.91x = 23,983.11 × 9,825.39
  4. Step 4: Simplify right side
    17,378.91x = 235,643,409.16
  5. Step 5: Solve for x
    x = 235,643,409.16/17,378.91
  6. Step 6: Final answer
    x = 13,559.16

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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.