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Finding the Fourth Proportional to 11,913.90, 17,870.34 and 4,015.90

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Solution

The fourth proportional to 11,913.90, 17,870.34 and 4,015.90 is: 6,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.90 : 17,870.34 = 4,015.90 : x
  2. Step 2: Convert to fraction form
    11,913.90/17,870.34 = 4,015.90/x
  3. Step 3: Cross multiply
    11,913.90x = 17,870.34 × 4,015.90
  4. Step 4: Simplify right side
    11,913.90x = 71,765,498.41
  5. Step 5: Solve for x
    x = 71,765,498.41/11,913.90
  6. Step 6: Final answer
    x = 6,023.68

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Why These Related Problems?

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