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Finding the Fourth Proportional to 2,073, 3,109.50 and 918.72

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Solution

The fourth proportional to 2,073, 3,109.50 and 918.72 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073 : 3,109.50 = 918.72 : x
  2. Step 2: Convert to fraction form
    2,073/3,109.50 = 918.72/x
  3. Step 3: Cross multiply
    2,073x = 3,109.50 × 918.72
  4. Step 4: Simplify right side
    2,073x = 2,856,759.84
  5. Step 5: Solve for x
    x = 2,856,759.84/2,073
  6. Step 6: Final answer
    x = 1,378.08

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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.