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Finding the Fourth Proportional to 17,376.80, 23,980.16 and 9,419.08

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Solution

The fourth proportional to 17,376.80, 23,980.16 and 9,419.08 is: 12,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,376.80 : 23,980.16 = 9,419.08 : x
  2. Step 2: Convert to fraction form
    17,376.80/23,980.16 = 9,419.08/x
  3. Step 3: Cross multiply
    17,376.80x = 23,980.16 × 9,419.08
  4. Step 4: Simplify right side
    17,376.80x = 225,871,045.45
  5. Step 5: Solve for x
    x = 225,871,045.45/17,376.80
  6. Step 6: Final answer
    x = 12,998.43

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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.