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Finding the Fourth Proportional to 11,913.96, 17,870.10 and 4,017.12

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Solution

The fourth proportional to 11,913.96, 17,870.10 and 4,017.12 is: 6,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.96 : 17,870.10 = 4,017.12 : x
  2. Step 2: Convert to fraction form
    11,913.96/17,870.10 = 4,017.12/x
  3. Step 3: Cross multiply
    11,913.96x = 17,870.10 × 4,017.12
  4. Step 4: Simplify right side
    11,913.96x = 71,786,336.11
  5. Step 5: Solve for x
    x = 71,786,336.11/11,913.96
  6. Step 6: Final answer
    x = 6,025.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.