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Finding the Fourth Proportional to 1,953.56, 2,927.79 and 1,489.64

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Solution

The fourth proportional to 1,953.56, 2,927.79 and 1,489.64 is: 2,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.56 : 2,927.79 = 1,489.64 : x
  2. Step 2: Convert to fraction form
    1,953.56/2,927.79 = 1,489.64/x
  3. Step 3: Cross multiply
    1,953.56x = 2,927.79 × 1,489.64
  4. Step 4: Simplify right side
    1,953.56x = 4,361,353.10
  5. Step 5: Solve for x
    x = 4,361,353.10/1,953.56
  6. Step 6: Final answer
    x = 2,232.52

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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.