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Finding the Fourth Proportional to 17,870.35, 24,660.24 and 9,912.40

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Solution

The fourth proportional to 17,870.35, 24,660.24 and 9,912.40 is: 13,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.35 : 24,660.24 = 9,912.40 : x
  2. Step 2: Convert to fraction form
    17,870.35/24,660.24 = 9,912.40/x
  3. Step 3: Cross multiply
    17,870.35x = 24,660.24 × 9,912.40
  4. Step 4: Simplify right side
    17,870.35x = 244,442,162.98
  5. Step 5: Solve for x
    x = 244,442,162.98/17,870.35
  6. Step 6: Final answer
    x = 13,678.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.