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Finding the Fourth Proportional to 1,913.15, 2,867.67 and 988.46

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Solution

The fourth proportional to 1,913.15, 2,867.67 and 988.46 is: 1,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.15 : 2,867.67 = 988.46 : x
  2. Step 2: Convert to fraction form
    1,913.15/2,867.67 = 988.46/x
  3. Step 3: Cross multiply
    1,913.15x = 2,867.67 × 988.46
  4. Step 4: Simplify right side
    1,913.15x = 2,834,562.75
  5. Step 5: Solve for x
    x = 2,834,562.75/1,913.15
  6. Step 6: Final answer
    x = 1,481.62

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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.